Pith Number

pith:NPFD42VD

pith:2012:NPFD42VDNYEA4KXLPV7RARE4FT

not attested not anchored not stored refs pending

New Invariants for the Graph Isomorphism Problem

Alexander Gamkrelidze, Gunter Hotz, Levan Varamashvili

arxiv:1212.3055 v2 · 2012-12-13 · cs.DS · 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{NPFD42VDNYEA4KXLPV7RARE4FT}

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.

Cited by

1 paper in Pith

Finding Graph Isomorphisms in Heated Spaces in Almost No Time

Receipt and verification

First computed	2026-05-18T01:34:59.547284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bca3e6aa36e080e2aeb7d7f10449c2cce1d0c3dd8438017ea44806f6d4548ac

Aliases

arxiv: 1212.3055 · arxiv_version: 1212.3055v2 · doi: 10.48550/arxiv.1212.3055 · pith_short_12: NPFD42VDNYEA · pith_short_16: NPFD42VDNYEA4KXL · pith_short_8: NPFD42VD

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/NPFD42VDNYEA4KXLPV7RARE4FT \
  | 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: 6bca3e6aa36e080e2aeb7d7f10449c2cce1d0c3dd8438017ea44806f6d4548ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3fef31da3dcf8f2df17c9532e50603c78ed4e6e6fe10dc409c77397188c8fe",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-12-13T05:35:32Z",
    "title_canon_sha256": "fb7479e9d801b3705f15eb64e59b6101d17cdbf4c76a396bb70c118347350337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3055",
    "kind": "arxiv",
    "version": 2
  }
}