Pith Number

pith:7KRKCYPM

pith:2002:7KRKCYPMQ3B5RRI2W7LPW5HYCR

not attested not anchored not stored refs pending

Approximating the Minimum Equivalent Digraph

Balaji Raghavachari, Neal E. Young, Samir Khuller

arxiv:cs/0205040 v1 · 2002-05-18 · cs.DS · 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{7KRKCYPMQ3B5RRI2W7LPW5HYCR}

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	2026-05-18T01:59:53.949225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa2a161ec86c3d8c51ab7d6fb74f81475ff042f03bf6f8298be5c9e2d4b2709

Aliases

arxiv: cs/0205040 · arxiv_version: cs/0205040v1 · doi: 10.48550/arxiv.cs/0205040 · pith_short_12: 7KRKCYPMQ3B5 · pith_short_16: 7KRKCYPMQ3B5RRI2 · pith_short_8: 7KRKCYPM

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/7KRKCYPMQ3B5RRI2W7LPW5HYCR \
  | 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: faa2a161ec86c3d8c51ab7d6fb74f81475ff042f03bf6f8298be5c9e2d4b2709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b9766756d34680c7a4c7046b0be0ec37b36c0ac209970d1e33b4408ebf6e65",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "cs.DS",
    "submitted_at": "2002-05-18T15:59:14Z",
    "title_canon_sha256": "b4f644fe267550edbaa053f167255b83208c967db3f862e36829ae22123fef5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0205040",
    "kind": "arxiv",
    "version": 1
  }
}