Pith Number

pith:JZAVAW46

pith:2013:JZAVAW46OF7MWAE2UM5VIHQTRF

not attested not anchored not stored refs pending

On edge-colorings of bicubic planar graphs

Louis-Hadrien Robert

arxiv:1312.0361 v1 · 2013-12-02 · 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{JZAVAW46OF7MWAE2UM5VIHQTRF}

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	2026-05-18T03:05:45.871091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e41505b9e717ecb009aa33b541e1389639c387a1aa03a4f18d0e111097c9d8e

Aliases

arxiv: 1312.0361 · arxiv_version: 1312.0361v1 · doi: 10.48550/arxiv.1312.0361 · pith_short_12: JZAVAW46OF7M · pith_short_16: JZAVAW46OF7MWAE2 · pith_short_8: JZAVAW46

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/JZAVAW46OF7MWAE2UM5VIHQTRF \
  | 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: 4e41505b9e717ecb009aa33b541e1389639c387a1aa03a4f18d0e111097c9d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d612589e392200c9e0799e4334d9547aeec34b4f56d13c0d181a5aca43c4bac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-02T07:32:56Z",
    "title_canon_sha256": "6cbb0042d5ce2dd71a691a2bdb38a8fec9ab39a685138aebaa551d9908ee2733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0361",
    "kind": "arxiv",
    "version": 1
  }
}