Pith Number

pith:G7ZTP6DZ

pith:2016:G7ZTP6DZCM7VOWKKTPVDJGJBYI

not attested not anchored not stored refs pending

Uniqueness Trees: A Possible Polynomial Approach to the Graph Isomorphism Problem

Jonathan Gorard

arxiv:1606.06399 v1 · 2016-06-21 · cs.DM · 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{G7ZTP6DZCM7VOWKKTPVDJGJBYI}

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	2026-05-18T01:12:11.016549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f337f879133f57594a9bea349921c21a9a55bd69ebdc71f3eb4c5bfb8cd2de

Aliases

arxiv: 1606.06399 · arxiv_version: 1606.06399v1 · doi: 10.48550/arxiv.1606.06399 · pith_short_12: G7ZTP6DZCM7V · pith_short_16: G7ZTP6DZCM7VOWKK · pith_short_8: G7ZTP6DZ

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/G7ZTP6DZCM7VOWKKTPVDJGJBYI \
  | 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: 37f337f879133f57594a9bea349921c21a9a55bd69ebdc71f3eb4c5bfb8cd2de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec861f4903b26f3f580479559de7a25570c4ba964fcb3b5082ca3a9e9a1852a3",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-06-21T02:04:13Z",
    "title_canon_sha256": "ea7975601afe8d9e7a3376864730e76b56ef2939f699ac5e835fc882710b4f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06399",
    "kind": "arxiv",
    "version": 1
  }
}