Pith Number

pith:7PTFY72D

pith:2013:7PTFY72DCWGYJ6CDVUPWH2OVK5

not attested not anchored not stored refs pending

Extensions of rich words

Jetro Vesti

arxiv:1312.4350 v1 · 2013-12-16 · 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{7PTFY72DCWGYJ6CDVUPWH2OVK5}

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	2026-05-18T02:30:08.556850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe65c7f43158d84f843ad1f63e9d55757ae726e6d9b69a1c58c899b0c777977

Aliases

arxiv: 1312.4350 · arxiv_version: 1312.4350v1 · doi: 10.48550/arxiv.1312.4350 · pith_short_12: 7PTFY72DCWGY · pith_short_16: 7PTFY72DCWGYJ6CD · pith_short_8: 7PTFY72D

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/7PTFY72DCWGYJ6CDVUPWH2OVK5 \
  | 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: fbe65c7f43158d84f843ad1f63e9d55757ae726e6d9b69a1c58c899b0c777977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c61a183b4ed33f521933dc200f301861deb8a9dc06fb20aa390268e1c79075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-16T13:31:57Z",
    "title_canon_sha256": "7a925d6703097bacba133f261b3af106a1e1aa8e9c1e382f82ece669e217f275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4350",
    "kind": "arxiv",
    "version": 1
  }
}