Pith Number

pith:MXUGTB3C

pith:2012:MXUGTB3CE35NEOKBUQVNQORWHW

not attested not anchored not stored refs pending

Decidability of plane edge coloring with three colors

De-Jan Lai, Hung-Hsun Chen, Song-Sun Lin, Wen-Guei Hu

arxiv:1210.6712 v1 · 2012-10-25 · 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{MXUGTB3CE35NEOKBUQVNQORWHW}

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	2026-05-18T03:42:23.317783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e869876226fad23941a42ad83a363d9c32e9ce3998bf366503373aa9458502

Aliases

arxiv: 1210.6712 · arxiv_version: 1210.6712v1 · doi: 10.48550/arxiv.1210.6712 · pith_short_12: MXUGTB3CE35N · pith_short_16: MXUGTB3CE35NEOKB · pith_short_8: MXUGTB3C

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/MXUGTB3CE35NEOKBUQVNQORWHW \
  | 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: 65e869876226fad23941a42ad83a363d9c32e9ce3998bf366503373aa9458502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f064d67e10bc1080bc67f6e592fdacb95a0a74883e7485ddab57ab613f02f578",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-25T01:09:10Z",
    "title_canon_sha256": "ff1f7636cf5fd011d4b96207840e71a54d5536d5e88724c788029e83416d5373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6712",
    "kind": "arxiv",
    "version": 1
  }
}