Pith Number

pith:64EDF2M2

pith:2017:64EDF2M2TNN7AHPWUMOZ3KLPXD

not attested not anchored not stored refs pending

Berge-Fulkerson coloring for infinite families of snarks

Rong-Xia Hao, Ting Zheng

arxiv:1708.07122 v1 · 2017-08-23 · 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{64EDF2M2TNN7AHPWUMOZ3KLPXD}

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	2026-05-18T00:36:47.119106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70832e99a9b5bf01df6a31d9da96fb8f0019beab4abb48f7c3ceb4b7897a560

Aliases

arxiv: 1708.07122 · arxiv_version: 1708.07122v1 · doi: 10.48550/arxiv.1708.07122 · pith_short_12: 64EDF2M2TNN7 · pith_short_16: 64EDF2M2TNN7AHPW · pith_short_8: 64EDF2M2

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/64EDF2M2TNN7AHPWUMOZ3KLPXD \
  | 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: f70832e99a9b5bf01df6a31d9da96fb8f0019beab4abb48f7c3ceb4b7897a560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d8e8fb9fee2771b787f202d0865a3d18ff0ec1418a2edded17aa7c28291c12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-23T04:22:46Z",
    "title_canon_sha256": "cad648c5fe3942bfb1f48a1862e80cd3742b568cb3cc8271a01f239795a986ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07122",
    "kind": "arxiv",
    "version": 1
  }
}