Pith Number

pith:QO6NAKHE

pith:2016:QO6NAKHEFGAELLSX634M5LI5UB

not attested not anchored not stored refs pending

On 132-representable Graphs

Alice L.L. Gao, Philip B. Zhang, Sergey Kitaev

arxiv:1602.08965 v2 · 2016-02-29 · 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{QO6NAKHEFGAELLSX634M5LI5UB}

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	2026-05-18T01:04:28.024247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83bcd028e4298045ae57f6f8cead1da0517023a01552e7bd37ed2a4902a25b07

Aliases

arxiv: 1602.08965 · arxiv_version: 1602.08965v2 · doi: 10.48550/arxiv.1602.08965 · pith_short_12: QO6NAKHEFGAE · pith_short_16: QO6NAKHEFGAELLSX · pith_short_8: QO6NAKHE

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/QO6NAKHEFGAELLSX634M5LI5UB \
  | 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: 83bcd028e4298045ae57f6f8cead1da0517023a01552e7bd37ed2a4902a25b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c178318b759f77659bd003ed18b6a3e11149e565075b2b92d7c7b04ad85d4179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-29T14:07:08Z",
    "title_canon_sha256": "b41c6e6735a74ef3264ed5d2fc9a7faea0df5adb58f37f7640f937ec5b89a88b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08965",
    "kind": "arxiv",
    "version": 2
  }
}