Pith Number

pith:5C52TSCU

pith:2015:5C52TSCU5B7C46NGGPSRJ4HUK3

not attested not anchored not stored refs pending

Graph Isomorphism, Color Refinement, and Compactness

Gaurav Rattan, Johannes K\"obler, Oleg Verbitsky, V. Arvind

arxiv:1502.01255 v3 · 2015-02-04 · cs.CC · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5C52TSCU5B7C46NGGPSRJ4HUK3}

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	2026-05-18T02:17:11.228778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bba9c854e87e2e79a633e514f0f456c9bbc90addfbe01791793f6d9cf87a80

Aliases

arxiv: 1502.01255 · arxiv_version: 1502.01255v3 · doi: 10.48550/arxiv.1502.01255 · pith_short_12: 5C52TSCU5B7C · pith_short_16: 5C52TSCU5B7C46NG · pith_short_8: 5C52TSCU

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/5C52TSCU5B7C46NGGPSRJ4HUK3 \
  | 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: e8bba9c854e87e2e79a633e514f0f456c9bbc90addfbe01791793f6d9cf87a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4f3ec21951ad03c166d1dd3660c9984ec2de7dd2dac54c9c6eb19c50b76818",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-02-04T16:57:33Z",
    "title_canon_sha256": "aab69c13d02dc2cd9475c72bee7284bebd2698a97b19796761c3b28dc6c5a1a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01255",
    "kind": "arxiv",
    "version": 3
  }
}