Pith Number

pith:J6P25OFV

pith:2016:J6P25OFV2TBNBGHKLX2VOMLDGY

not attested not anchored not stored refs pending

On the Group and Color Isomorphism Problems

David J. Rosenbaum, Fran\c{c}ois Le Gall

arxiv:1609.08253 v1 · 2016-09-27 · cs.CC · cs.DS · 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{J6P25OFV2TBNBGHKLX2VOMLDGY}

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	2026-05-18T01:03:46.292557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f9faeb8b5d4c2d098ea5df55731633616a982283c3020c674819f5ae2f14120

Aliases

arxiv: 1609.08253 · arxiv_version: 1609.08253v1 · doi: 10.48550/arxiv.1609.08253 · pith_short_12: J6P25OFV2TBN · pith_short_16: J6P25OFV2TBNBGHK · pith_short_8: J6P25OFV

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/J6P25OFV2TBNBGHKLX2VOMLDGY \
  | 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: 4f9faeb8b5d4c2d098ea5df55731633616a982283c3020c674819f5ae2f14120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e3c015dc6d0eaaf02bc591f2a6bafa4209fe5075915dec768ffbb29e8e6aa0",
    "cross_cats_sorted": [
      "cs.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-09-27T04:10:44Z",
    "title_canon_sha256": "e3f3bfae6efedd4d6f66c85111e96954ced82425f93d99b0b5ff8b6ca52a2ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08253",
    "kind": "arxiv",
    "version": 1
  }
}