Pith Number

pith:OPOBDFUA

pith:2012:OPOBDFUAI4F4PIWE7KNCLTOULD

not attested not anchored not stored refs pending

Cycles and Paths Embedded in Varietal Hypercubes

Jin Cao, Jun-Ming Xu, Li Xiao

arxiv:1211.4283 v1 · 2012-11-19 · 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{OPOBDFUAI4F4PIWE7KNCLTOULD}

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	2026-05-18T03:40:27.373343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73dc119680470bc7a2c4fa9a25cdd458fb2f681bc445b5a4834e714ef108a7c3

Aliases

arxiv: 1211.4283 · arxiv_version: 1211.4283v1 · doi: 10.48550/arxiv.1211.4283 · pith_short_12: OPOBDFUAI4F4 · pith_short_16: OPOBDFUAI4F4PIWE · pith_short_8: OPOBDFUA

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/OPOBDFUAI4F4PIWE7KNCLTOULD \
  | 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: 73dc119680470bc7a2c4fa9a25cdd458fb2f681bc445b5a4834e714ef108a7c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72922b80e33d3abb6e43f051ee239442f92ab7ed254729bb381ebed56dbb74d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-19T01:43:00Z",
    "title_canon_sha256": "5bbc7ffa56307f7c35f1200041c1b3dcd8f221aae32af62cdc1f566e5b0d3715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4283",
    "kind": "arxiv",
    "version": 1
  }
}