Pith Number

pith:KLWX5PF6

pith:2013:KLWX5PF6XRA3OD6SVLKOQDSMAD

not attested not anchored not stored refs pending

Tropicalizing the simplex algorithm

Michael Joswig, Pascal Benchimol, St\'ephane Gaubert, Xavier Allamigeon

arxiv:1308.0454 v2 · 2013-08-02 · math.CO · 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{KLWX5PF6XRA3OD6SVLKOQDSMAD}

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	2026-05-18T01:36:07.489954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ed7ebcbebc41b70fd2aad4e80e4c00fd69f8738568807a569f57582dc186cb

Aliases

arxiv: 1308.0454 · arxiv_version: 1308.0454v2 · doi: 10.48550/arxiv.1308.0454 · pith_short_12: KLWX5PF6XRA3 · pith_short_16: KLWX5PF6XRA3OD6S · pith_short_8: KLWX5PF6

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/KLWX5PF6XRA3OD6SVLKOQDSMAD \
  | 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: 52ed7ebcbebc41b70fd2aad4e80e4c00fd69f8738568807a569f57582dc186cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c31df7fd24146c157746fa409f7e78ae6f633e1f27ccff77ea3bf4b5d37eee",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-02T10:10:52Z",
    "title_canon_sha256": "ef591e2278741fbfcd2268a73d835b55d7497b209aaba41b05da50c51932a33b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0454",
    "kind": "arxiv",
    "version": 2
  }
}