Pith Number

pith:LHZL3PFI

pith:2025:LHZL3PFICNNEZWVS7OCSP5S3SM

not attested not anchored not stored refs pending

Karp's patching algorithm on dense digraph

Alan Frieze

arxiv:2505.21645 v1 · 2025-05-27 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHZL3PFICNNEZWVS7OCSP5S3SM}

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	2026-07-05T11:11:01.491156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f2bdbca8135a4cdab2fb8527f65b932590cf619ef7586ad4a57390f511f18d

Aliases

arxiv: 2505.21645 · arxiv_version: 2505.21645v1 · doi: 10.48550/arxiv.2505.21645 · pith_short_12: LHZL3PFICNNE · pith_short_16: LHZL3PFICNNEZWVS · pith_short_8: LHZL3PFI

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/LHZL3PFICNNEZWVS7OCSP5S3SM \
  | 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: 59f2bdbca8135a4cdab2fb8527f65b932590cf619ef7586ad4a57390f511f18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aea31b4c0658eba6327dc14affaac768b2a6b815cad1099689d2e640ea64e62",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-27T18:20:08Z",
    "title_canon_sha256": "3c25e1d02f82c9014ea58f59a0b3aadb505e3417b87dc76423f8dd63583effdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21645",
    "kind": "arxiv",
    "version": 1
  }
}