Pith Number

pith:SDQDWRQQ

pith:2020:SDQDWRQQSVN4APBEWJJRNF2I4I

not attested not anchored not stored refs pending

Microlocal analysis and characterization of Sobolev wavefront sets using shearlets

Bin Han, Niraj K. Shukla, Swaraj Paul

arxiv:2003.06762 v2 · 2020-03-15 · math.FA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDQDWRQQSVN4APBEWJJRNF2I4I}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T01:41:30.401842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90e03b4610955bc03c24b253169748e20db7b4f93b8e9f0e10790ed0bf31012d

Aliases

arxiv: 2003.06762 · arxiv_version: 2003.06762v2 · doi: 10.48550/arxiv.2003.06762 · pith_short_12: SDQDWRQQSVN4 · pith_short_16: SDQDWRQQSVN4APBE · pith_short_8: SDQDWRQQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SDQDWRQQSVN4APBEWJJRNF2I4I \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 90e03b4610955bc03c24b253169748e20db7b4f93b8e9f0e10790ed0bf31012d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c325a9881130a122c7f3f4035b28a9547eaa3dccb36a854170041e9e0f12317c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-03-15T06:01:32Z",
    "title_canon_sha256": "3ae2b4eda805d2c48e6bd71bdc4ac9472f117b50f547b40bba64523db36538a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.06762",
    "kind": "arxiv",
    "version": 2
  }
}