Pith Number

pith:JZATM2HR

pith:2007:JZATM2HRKKION62G27W44SAHLY

not attested not anchored not stored refs pending

The road coloring problem

A. N. Trahtman

arxiv:0709.0099 v4 · 2007-09-02 · 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{JZATM2HRKKION62G27W44SAHLY}

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	2026-05-18T04:09:14.717087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e413668f15290e6fb46d7edce48075e1a321eefedc026b9b8e922bd6abb878d

Aliases

arxiv: 0709.0099 · arxiv_version: 0709.0099v4 · doi: 10.48550/arxiv.0709.0099 · pith_short_12: JZATM2HRKKIO · pith_short_16: JZATM2HRKKION62G · pith_short_8: JZATM2HR

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/JZATM2HRKKION62G27W44SAHLY \
  | 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: 4e413668f15290e6fb46d7edce48075e1a321eefedc026b9b8e922bd6abb878d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d33f021871581d161f3225ad755852e4b3e0984cd9db40a067af362a402de467",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2007-09-02T10:08:46Z",
    "title_canon_sha256": "3782851f775991dc942ae7d3067df28124f175a93eb418cdb6a0b9d0484ffe71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0099",
    "kind": "arxiv",
    "version": 4
  }
}