Pith Number

pith:UGABTFC4

pith:2016:UGABTFC4FFKIN3REAJDKLXMSVV

not attested not anchored not stored refs pending

Pancyclicity when each cycle contains k chords

Vladislav Taranchuk

arxiv:1612.08802 v2 · 2016-12-28 · 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{UGABTFC4FFKIN3REAJDKLXMSVV}

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	2026-05-18T00:31:56.024675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18019945c295486ee240246a5dd92ad7a64061d49d689f5bda78ccb89c29590

Aliases

arxiv: 1612.08802 · arxiv_version: 1612.08802v2 · doi: 10.48550/arxiv.1612.08802 · pith_short_12: UGABTFC4FFKI · pith_short_16: UGABTFC4FFKIN3RE · pith_short_8: UGABTFC4

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/UGABTFC4FFKIN3REAJDKLXMSVV \
  | 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: a18019945c295486ee240246a5dd92ad7a64061d49d689f5bda78ccb89c29590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efcfe1efbf8a9a2f76c25f99a1db38db5620ced6be822850213c0ece928c4e6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-28T04:49:38Z",
    "title_canon_sha256": "f93e6a9c508a988b2c428e1798b3b84116c72079ec73b35922269bd4ca116efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08802",
    "kind": "arxiv",
    "version": 2
  }
}