Pith Number

pith:3DJXRL7R

pith:2012:3DJXRL7RJMRSCDMHWWGB66UA4S

not attested not anchored not stored refs pending

Graph isomorphism and automorphism problems are polynomial

Charo I. Del Genio, Thilo gross

arxiv:1211.2322 v2 · 2012-11-10 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DJXRL7RJMRSCDMHWWGB66UA4S}

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	2026-05-18T03:41:00.785147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8d378aff14b23210d87b58c1f7a80e49cd9e0bfd55f56144493acbcc044a34e

Aliases

arxiv: 1211.2322 · arxiv_version: 1211.2322v2 · doi: 10.48550/arxiv.1211.2322 · pith_short_12: 3DJXRL7RJMRS · pith_short_16: 3DJXRL7RJMRSCDMH · pith_short_8: 3DJXRL7R

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/3DJXRL7RJMRSCDMHWWGB66UA4S \
  | 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: d8d378aff14b23210d87b58c1f7a80e49cd9e0bfd55f56144493acbcc044a34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9eab3f667503a713800ae244c25bf45badb3cb1f117c57e7018eb83b446d47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-11-10T11:50:27Z",
    "title_canon_sha256": "dfe4ab01bc3afd0ba9bb729a5f47bece2140e6d524c8ec41b5bdfd530b1ade9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2322",
    "kind": "arxiv",
    "version": 2
  }
}