Pith Number

pith:PTJE5P7S

pith:2019:PTJE5P7SKKMW7RBBULHLKDV7PE

not attested not anchored not stored refs pending

Graph Iso/Auto-morphism: A Divide-&-Conquer Approach

Can Lu, Hong Cheng, Jeffrey Xu Yu, Zhiwei Zhang

arxiv:1911.06511 v1 · 2019-11-15 · cs.SI · 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{PTJE5P7SKKMW7RBBULHLKDV7PE}

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	2026-07-05T00:19:24.265923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd24ebff252996fc421a2ceb50ebf790933403fc92371cea6d339edc8572a45

Aliases

arxiv: 1911.06511 · arxiv_version: 1911.06511v1 · doi: 10.48550/arxiv.1911.06511 · pith_short_12: PTJE5P7SKKMW · pith_short_16: PTJE5P7SKKMW7RBB · pith_short_8: PTJE5P7S

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/PTJE5P7SKKMW7RBBULHLKDV7PE \
  | 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: 7cd24ebff252996fc421a2ceb50ebf790933403fc92371cea6d339edc8572a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd98d1a233c9c28ede6d71f5bcf67a4367270f92d6f06fa7d7e279faf2aaa7d1",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2019-11-15T08:25:13Z",
    "title_canon_sha256": "8ddde3fe70e5d2e497b336278c96bcaec9173122df60e57ea84b189a5a38d657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.06511",
    "kind": "arxiv",
    "version": 1
  }
}