Pith Number

pith:XPANN5NA

pith:2012:XPANN5NAH4ZCXK2HHATXVMNHRJ

not attested not anchored not stored refs pending

A remark on Petersen coloring conjecture of Jaeger

Vahan V. Mkrtchyan

arxiv:1201.4472 v2 · 2012-01-21 · cs.DM · 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{XPANN5NAH4ZCXK2HHATXVMNHRJ}

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	2026-05-18T03:25:16.351898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc0d6f5a03f322bab4738277ab1a78a74ecc0cea7f490954bee70eb1ed47aed

Aliases

arxiv: 1201.4472 · arxiv_version: 1201.4472v2 · doi: 10.48550/arxiv.1201.4472 · pith_short_12: XPANN5NAH4ZC · pith_short_16: XPANN5NAH4ZCXK2H · pith_short_8: XPANN5NA

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/XPANN5NAH4ZCXK2HHATXVMNHRJ \
  | 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: bbc0d6f5a03f322bab4738277ab1a78a74ecc0cea7f490954bee70eb1ed47aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25645928a6230e6f3d2c7a488bd6ab754f205d672865a3c746a4017d9a8468f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-01-21T13:48:07Z",
    "title_canon_sha256": "58937e21da1d95549fc8e77731a59543a3dca18f722959e3c40ea73f3a219afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4472",
    "kind": "arxiv",
    "version": 2
  }
}