Pith Number

pith:ZBS54IU6

pith:2013:ZBS54IU6HG7S4HPCPUN6ZNEIZY

not attested not anchored not stored refs pending

Answers to some problems about graph coloring test graphs

Takahiro Matsushita

arxiv:1303.1277 v2 · 2013-03-06 · math.CO · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBS54IU6HG7S4HPCPUN6ZNEIZY}

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	2026-05-18T00:39:16.243075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c865de229e39bf2e1de27d1becb488ce2a18c42db880f6deffaa9ede79c4638c

Aliases

arxiv: 1303.1277 · arxiv_version: 1303.1277v2 · doi: 10.48550/arxiv.1303.1277 · pith_short_12: ZBS54IU6HG7S · pith_short_16: ZBS54IU6HG7S4HPC · pith_short_8: ZBS54IU6

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/ZBS54IU6HG7S4HPCPUN6ZNEIZY \
  | 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: c865de229e39bf2e1de27d1becb488ce2a18c42db880f6deffaa9ede79c4638c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf6f594025b657df3d595941163f2a77ab01b2e473cc8bc1bfcad4b2e88ad1a2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-06T09:06:13Z",
    "title_canon_sha256": "58aff201fd17ed759ac4e448f61c7752e050700afa21683f5443080a5cdf7f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1277",
    "kind": "arxiv",
    "version": 2
  }
}