Pith Number

pith:VF3SXTAG

pith:2014:VF3SXTAGXCALHKUUPLIB2VPNY6

not attested not anchored not stored refs pending

Cycles in Oriented 3-graphs

Imre Leader, Ta Sheng Tan

arxiv:1409.0972 v1 · 2014-09-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VF3SXTAGXCALHKUUPLIB2VPNY6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:43:44.662954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9772bcc06b880b3aa947ad01d55edc7a93f49b3e3278e6839bc416526049f89

Aliases

arxiv: 1409.0972 · arxiv_version: 1409.0972v1 · doi: 10.48550/arxiv.1409.0972 · pith_short_12: VF3SXTAGXCAL · pith_short_16: VF3SXTAGXCALHKUU · pith_short_8: VF3SXTAG

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/VF3SXTAGXCALHKUUPLIB2VPNY6 \
  | 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: a9772bcc06b880b3aa947ad01d55edc7a93f49b3e3278e6839bc416526049f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02122c230fd0094ade37b589a0971938fb922cb29ad4f598453f13f99a3f58e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-03T07:14:37Z",
    "title_canon_sha256": "6557df6abbca7d67a592e39bd09db4bcdb92242878296d1f368121cf2ac0f4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0972",
    "kind": "arxiv",
    "version": 1
  }
}