Pith Number

pith:52DXACAC

pith:2013:52DXACACADFTIWPKCFYZ7AG4BF

not attested not anchored not stored refs pending

Minimal Pancyclicity

Sean Griffin

arxiv:1312.0274 v1 · 2013-12-01 · 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{52DXACACADFTIWPKCFYZ7AG4BF}

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	2026-05-18T03:05:46.219768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8770080200cb3459ea11719f80dc09789d2e5a038014083efd19a57b3ea9f6

Aliases

arxiv: 1312.0274 · arxiv_version: 1312.0274v1 · doi: 10.48550/arxiv.1312.0274 · pith_short_12: 52DXACACADFT · pith_short_16: 52DXACACADFTIWPK · pith_short_8: 52DXACAC

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/52DXACACADFTIWPKCFYZ7AG4BF \
  | 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: ee8770080200cb3459ea11719f80dc09789d2e5a038014083efd19a57b3ea9f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c50582123f43d389b9ee507c4d4f7b28819ef098b01732e4e637a257aa64a45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-01T21:01:09Z",
    "title_canon_sha256": "9b9276237c0f6b1917da35e86d0497013e76661ddc027f0ed03a74b81fa480d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0274",
    "kind": "arxiv",
    "version": 1
  }
}