Pith Number

pith:U2IBMT6A

pith:2020:U2IBMT6AK7GYNTEEZSNDYUUHM3

not attested not anchored not stored refs pending

$C^{1, 1}$ regularity for solutions to the degenerate $L_p$ Dual Minkowski problem

Di Wu, Li Chen, Ni Xiang, Qiang Tu

arxiv:2010.06372 v1 · 2020-10-13 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2IBMT6AK7GYNTEEZSNDYUUHM3}

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	2026-07-05T01:42:48.043904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a690164fc057cd86cc84cc9a3c528766dfdb2f05335ef324b5ee02b64f4d4daf

Aliases

arxiv: 2010.06372 · arxiv_version: 2010.06372v1 · doi: 10.48550/arxiv.2010.06372 · pith_short_12: U2IBMT6AK7GY · pith_short_16: U2IBMT6AK7GYNTEE · pith_short_8: U2IBMT6A

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/U2IBMT6AK7GYNTEEZSNDYUUHM3 \
  | 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: a690164fc057cd86cc84cc9a3c528766dfdb2f05335ef324b5ee02b64f4d4daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45f1709c5bfd3f19d665cee41af47c4961e9af859eff115636b473d3911608f6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-13T13:29:35Z",
    "title_canon_sha256": "4e870482c1c71d73e6799ec63b2089a06a5c479a27290046ac488db4ede4a772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.06372",
    "kind": "arxiv",
    "version": 1
  }
}