Pith Number

pith:3ZT2SC3F

pith:2021:3ZT2SC3FLC666WIN6PLFS7YSLS

not attested not anchored not stored refs pending

Cyclic descents for Motzkin paths

Bin Han

arxiv:2104.03774 v2 · 2021-04-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZT2SC3FLC666WIN6PLFS7YSLS}

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	2026-07-05T05:30:04.885452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de67a90b6558bdef590df3d6597f125ca5fe3f69ea9e8eb292ea3c3a6a534e09

Aliases

arxiv: 2104.03774 · arxiv_version: 2104.03774v2 · doi: 10.48550/arxiv.2104.03774 · pith_short_12: 3ZT2SC3FLC66 · pith_short_16: 3ZT2SC3FLC666WIN · pith_short_8: 3ZT2SC3F

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/3ZT2SC3FLC666WIN6PLFS7YSLS \
  | 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: de67a90b6558bdef590df3d6597f125ca5fe3f69ea9e8eb292ea3c3a6a534e09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21db15f4c9c3070013a16a9b4722a4fe8b78b8b2d81060d3c5b326da965858e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-08T13:57:02Z",
    "title_canon_sha256": "2d8ff0e83b27485183423d15e082a142e2f1fa7d1c84169e9e3dc786afb503cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.03774",
    "kind": "arxiv",
    "version": 2
  }
}