Pith Number

pith:U7UEE3PS

pith:2019:U7UEE3PSRQJQTS4PLFB7ZPNZHH

not attested not anchored not stored refs pending

Walk refinement, walk logic, and the iteration number of the Weisfeiler-Leman algorithm

Ilia Ponomarenko, Moritz Lichter, Pascal Schweitzer

arxiv:1905.03008 v2 · 2019-05-08 · cs.LO · cs.DM · 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{U7UEE3PSRQJQTS4PLFB7ZPNZHH}

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	2026-05-17T23:46:40.645632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e8426df28c1309cb8f5943fcbdb939e6fb8af807eb6f905ce12fb01bd3e04c

Aliases

arxiv: 1905.03008 · arxiv_version: 1905.03008v2 · doi: 10.48550/arxiv.1905.03008 · pith_short_12: U7UEE3PSRQJQ · pith_short_16: U7UEE3PSRQJQTS4P · pith_short_8: U7UEE3PS

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/U7UEE3PSRQJQTS4PLFB7ZPNZHH \
  | 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: a7e8426df28c1309cb8f5943fcbdb939e6fb8af807eb6f905ce12fb01bd3e04c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db49dd8a1692704ba5a11bb987541d4bafed105de4cd266af0fe303c4da6273",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-05-08T11:16:04Z",
    "title_canon_sha256": "bc25a41a260d9378d9fa80c03af92352cabc9c7a54e8bd3befa1d47abefc8eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03008",
    "kind": "arxiv",
    "version": 2
  }
}