Pith Number

pith:JCDT4RE2

pith:2013:JCDT4RE22VZECCATEVH2FSPV6E

not attested not anchored not stored refs pending

Laurent Phenomenon Sequences

Cesar Cuenca, Jiaoyang Huang, Joshua Alman

arxiv:1309.0751 v2 · 2013-09-03 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCDT4RE22VZECCATEVH2FSPV6E}

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	2026-05-18T03:11:12.547082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48873e449ad572410813254fa2c9f5f13a1170ab18216c2f7b7b170acd193217

Aliases

arxiv: 1309.0751 · arxiv_version: 1309.0751v2 · doi: 10.48550/arxiv.1309.0751 · pith_short_12: JCDT4RE22VZE · pith_short_16: JCDT4RE22VZECCAT · pith_short_8: JCDT4RE2

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/JCDT4RE22VZECCATEVH2FSPV6E \
  | 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: 48873e449ad572410813254fa2c9f5f13a1170ab18216c2f7b7b170acd193217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f8d0bc391f06fa0de63c7aacdfb62afa6cddd70eb062ce656ea9e966b4207d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-03T17:23:43Z",
    "title_canon_sha256": "dfdb3f10dcb487aec47add0e194d7f7d4f3653b4d2bb0261e28795861bba7e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0751",
    "kind": "arxiv",
    "version": 2
  }
}