Pith Number

pith:P3XM76UY

pith:2021:P3XM76UYKYBHFXKZRU4ABGR7EU

not attested not anchored not stored refs pending

A proof system for graph (non)-isomorphism verification

Filip Mari\'c, Ivan Drecun, Milan Bankovi\'c

arxiv:2112.14303 v5 · 2021-12-28 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3XM76UYKYBHFXKZRU4ABGR7EU}

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	2026-07-05T06:22:57.292432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eeecffa98560272dd598d38009a3f25266fd27fc4605cd13cd1aeee7bf31edd

Aliases

arxiv: 2112.14303 · arxiv_version: 2112.14303v5 · doi: 10.48550/arxiv.2112.14303 · pith_short_12: P3XM76UYKYBH · pith_short_16: P3XM76UYKYBHFXKZ · pith_short_8: P3XM76UY

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/P3XM76UYKYBHFXKZRU4ABGR7EU \
  | 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: 7eeecffa98560272dd598d38009a3f25266fd27fc4605cd13cd1aeee7bf31edd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49cf2b956e7d66558ff1cb713e624647016a6bf741aa7b45af7d8cd3b575481b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2021-12-28T21:47:30Z",
    "title_canon_sha256": "958903bd348937f696e63c2e147da22c2df0bd3b91c4ba7b60626074521b1913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14303",
    "kind": "arxiv",
    "version": 5
  }
}