Pith Number

pith:2SBO3R22

pith:2010:2SBO3R22ISUI2CB5GLFSRF7OY3

not attested not anchored not stored refs pending

Optimal Homologous Cycles, Total Unimodularity, and Linear Programming

Anil N. Hirani, Bala Krishnamoorthy, Tamal K. Dey

arxiv:1001.0338 v3 · 2010-01-02 · math.AT · cs.CG · cs.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SBO3R22ISUI2CB5GLFSRF7OY3}

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	2026-05-18T04:30:36.889490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d482edc75a44a88d083d32cb2897eec6d4fa330c49cc1cda1b163206991a3f2a

Aliases

arxiv: 1001.0338 · arxiv_version: 1001.0338v3 · doi: 10.48550/arxiv.1001.0338 · pith_short_12: 2SBO3R22ISUI · pith_short_16: 2SBO3R22ISUI2CB5 · pith_short_8: 2SBO3R22

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/2SBO3R22ISUI2CB5GLFSRF7OY3 \
  | 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: d482edc75a44a88d083d32cb2897eec6d4fa330c49cc1cda1b163206991a3f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "397a77540a1766b03003139ba7143c36477cab251a8aa01de727c9cd16fe0afa",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-01-02T23:30:11Z",
    "title_canon_sha256": "0ba040fbf008554f48e4a00c4c5b195c4007d80033b6f39e7ecccac5855cfbee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0338",
    "kind": "arxiv",
    "version": 3
  }
}