Pith Number

pith:DRROCLSA

pith:2008:DRROCLSAXKMQ7QGS6V3FAYFCD4

not attested not anchored not stored refs pending

Combinatorial invariants for graph isomorphism problem

Jarek Duda

arxiv:0804.3615 v4 · 2008-04-22 · cs.CC · 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{DRROCLSAXKMQ7QGS6V3FAYFCD4}

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	2026-07-04T15:11:37.884920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c62e12e40ba990fc0d2f5765060a21f2798270ba74da40feb91da0b1e57185c

Aliases

arxiv: 0804.3615 · arxiv_version: 0804.3615v4 · doi: 10.48550/arxiv.0804.3615 · pith_short_12: DRROCLSAXKMQ · pith_short_16: DRROCLSAXKMQ7QGS · pith_short_8: DRROCLSA

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/DRROCLSAXKMQ7QGS6V3FAYFCD4 \
  | 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: 1c62e12e40ba990fc0d2f5765060a21f2798270ba74da40feb91da0b1e57185c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35413e516a10ef67560eae9c83d8d1a0f3fac28159ee0e05067915ee4be1ece2",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2008-04-22T22:16:46Z",
    "title_canon_sha256": "ab44a820a6bea540a79e3dd8b4d6d6ee444e1724ce61f8ab7bc90deaa4dd96b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3615",
    "kind": "arxiv",
    "version": 4
  }
}