Pith Number

pith:JZ6JP5JM

pith:2025:JZ6JP5JM57ZHFFI7SVTVHIYUWD

not attested not anchored not stored refs pending

Efficient Catalytic Graph Algorithms

Edward Pyne, James Cook

arxiv:2509.06209 v1 · 2025-09-07 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZ6JP5JM57ZHFFI7SVTVHIYUWD}

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	2026-07-05T12:06:31.861303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7c97f52ceff272951f956753a314b0e2cf5e86a3cec12098152f82b4889fdc

Aliases

arxiv: 2509.06209 · arxiv_version: 2509.06209v1 · doi: 10.48550/arxiv.2509.06209 · pith_short_12: JZ6JP5JM57ZH · pith_short_16: JZ6JP5JM57ZHFFI7 · pith_short_8: JZ6JP5JM

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/JZ6JP5JM57ZHFFI7SVTVHIYUWD \
  | 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: 4e7c97f52ceff272951f956753a314b0e2cf5e86a3cec12098152f82b4889fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a93a620060ab32ee963c990dc2650657f14e383696b1b15f860a5e6d74e2262",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-09-07T21:14:13Z",
    "title_canon_sha256": "1fa4f2d25159d92c6a4905cfae094588f6bdf3087a7f65ba54678bd8b9f952a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06209",
    "kind": "arxiv",
    "version": 1
  }
}