Pith Number

pith:DVM2L6BF

pith:2015:DVM2L6BF4HBE6YGRFU5CLY5VAF

not attested not anchored not stored refs pending

Limitations of Algebraic Approaches to Graph Isomorphism Testing

Christoph Berkholz, Martin Grohe

arxiv:1502.05912 v1 · 2015-02-20 · cs.CC · 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{DVM2L6BF4HBE6YGRFU5CLY5VAF}

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	2026-05-18T02:26:44.513067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d59a5f825e1c24f60d12d3a25e3b501548593f89a284194ef13c2ca52c5b682

Aliases

arxiv: 1502.05912 · arxiv_version: 1502.05912v1 · doi: 10.48550/arxiv.1502.05912 · pith_short_12: DVM2L6BF4HBE · pith_short_16: DVM2L6BF4HBE6YGR · pith_short_8: DVM2L6BF

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/DVM2L6BF4HBE6YGRFU5CLY5VAF \
  | 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: 1d59a5f825e1c24f60d12d3a25e3b501548593f89a284194ef13c2ca52c5b682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47d3961b85c7b0dd505cee9524c26079e3ecbad5349e415f578b9789a8d60413",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-02-20T15:50:43Z",
    "title_canon_sha256": "9b9b94744e76aec4a94eac86be06c2c3d7159469ab8a337fd1a9ca8944033365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05912",
    "kind": "arxiv",
    "version": 1
  }
}