Pith Number

pith:33MFAJRX

pith:2013:33MFAJRX63MZZ3BMSBKO47JKEM

not attested not anchored not stored refs pending

On total colorings of 1-planar graphs

Guizhen Liu, Jianfeng Hou, Xin Zhang

arxiv:1304.6263 v1 · 2013-04-23 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33MFAJRX63MZZ3BMSBKO47JKEM}

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	2026-05-18T03:27:21.961191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded8502637f6d99cec2c9054ee7d2a232f3ade90dd734b680130bfc37a68ce68

Aliases

arxiv: 1304.6263 · arxiv_version: 1304.6263v1 · doi: 10.48550/arxiv.1304.6263 · pith_short_12: 33MFAJRX63MZ · pith_short_16: 33MFAJRX63MZZ3BM · pith_short_8: 33MFAJRX

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/33MFAJRX63MZZ3BMSBKO47JKEM \
  | 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: ded8502637f6d99cec2c9054ee7d2a232f3ade90dd734b680130bfc37a68ce68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57624044d3700133d83096f0c5cb69d152bec53b982951780ffa14c790a4243b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-23T12:38:27Z",
    "title_canon_sha256": "c577430e1f5792401274600f985d5e41ef0c0dc5abcd7de3df0f9b6c5ecfb8c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6263",
    "kind": "arxiv",
    "version": 1
  }
}