Pith Number

pith:UTAGGIUF

pith:2009:UTAGGIUFATZSK63ZH4QOC4YV2A

not attested not anchored not stored refs pending

Token Graphs

Clemens Huemer, David Flores-Pe\~naloza, David R. Wood, Ferran Hurtado, Jorge Urrutia, Ruy Fabila-Monroy

arxiv:0910.4774 v1 · 2009-10-25 · 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{UTAGGIUFATZSK63ZH4QOC4YV2A}

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	2026-05-18T03:55:23.759481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c063228504f3257b793f20e17315d01890b95bf1ef124c81993b95cb8ae918

Aliases

arxiv: 0910.4774 · arxiv_version: 0910.4774v1 · doi: 10.48550/arxiv.0910.4774 · pith_short_12: UTAGGIUFATZS · pith_short_16: UTAGGIUFATZSK63Z · pith_short_8: UTAGGIUF

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/UTAGGIUFATZSK63ZH4QOC4YV2A \
  | 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: a4c063228504f3257b793f20e17315d01890b95bf1ef124c81993b95cb8ae918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41b428982348249a74ce29215055cee900dc8ab0de23b1fbf1ad61ab410a1f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-10-25T21:49:20Z",
    "title_canon_sha256": "a83a41c171c8a90360b7380de26470f84d1296d0f8adcb70824c5e663d0585bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4774",
    "kind": "arxiv",
    "version": 1
  }
}