Pith Number

pith:6BBPPAZX

pith:2012:6BBPPAZX7HCE74JRCRINBCBQZC

not attested not anchored not stored refs pending

The biased odd cycle game

Asaf Ferber, Cory Palmer, Hong Liu, Mate Vizer, Michael Krivelevich, Roman Glebov, Tomas Valla

arxiv:1210.4342 v2 · 2012-10-16 · 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{6BBPPAZX7HCE74JRCRINBCBQZC}

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	2026-05-18T03:28:19.500032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f042f78337f9c44ff1311450d08830c89ecfb02aad6c051327871f83334536cb

Aliases

arxiv: 1210.4342 · arxiv_version: 1210.4342v2 · doi: 10.48550/arxiv.1210.4342 · pith_short_12: 6BBPPAZX7HCE · pith_short_16: 6BBPPAZX7HCE74JR · pith_short_8: 6BBPPAZX

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/6BBPPAZX7HCE74JRCRINBCBQZC \
  | 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: f042f78337f9c44ff1311450d08830c89ecfb02aad6c051327871f83334536cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1de2b71f0240fae4934b668caab165608ba418acd8d24df7c95726c784a7a63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-16T10:14:33Z",
    "title_canon_sha256": "a9806f75ee7791cfc5c4d4a63d9eb20f583204822d7ffae2f97ec836f69449c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4342",
    "kind": "arxiv",
    "version": 2
  }
}