Pith Number

pith:QKFT4EWX

pith:2019:QKFT4EWXATSQCFLN27TFTJ555S

not attested not anchored not stored refs pending

Incorporating Weisfeiler-Leman into algorithms for group isomorphism

James B. Wilson, Joshua A. Grochow, Peter A. Brooksbank, Yinan Li, Youming Qiao

arxiv:1905.02518 v1 · 2019-05-06 · cs.CC · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKFT4EWXATSQCFLN27TFTJ555S}

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	2026-05-17T23:46:51.214448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828b3e12d704e501156dd7e659a7bdec9920fc454f058cd658115e42504deb48

Aliases

arxiv: 1905.02518 · arxiv_version: 1905.02518v1 · doi: 10.48550/arxiv.1905.02518 · pith_short_12: QKFT4EWXATSQ · pith_short_16: QKFT4EWXATSQCFLN · pith_short_8: QKFT4EWX

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/QKFT4EWXATSQCFLN27TFTJ555S \
  | 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: 828b3e12d704e501156dd7e659a7bdec9920fc454f058cd658115e42504deb48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05dc6043a8f60f633cd9982c06243c1683f5e79d71d64e34ea201a139f8994ea",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-05-06T16:34:20Z",
    "title_canon_sha256": "11e697463c5ea030df8f463a2ddacaa5e74256e82ba50f9d53912371995c7200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02518",
    "kind": "arxiv",
    "version": 1
  }
}