Pith Number

pith:G6GM2IRK

pith:2005:G6GM2IRKDQ7G5RMCGAGTBCNPOV

not attested not anchored not stored refs pending

Solutions of max-plus linear equations and large deviations

Marianne Akian, Stephane Gaubert, Vassili Kolokoltsov

arxiv:math/0509279 v1 · 2005-09-13 · math.PR · 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{G6GM2IRKDQ7G5RMCGAGTBCNPOV}

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	2026-05-18T00:57:44.898980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

378ccd222a1c3e6ec582300d3089af755035540957277a84e1fbcab22b4aba21

Aliases

arxiv: math/0509279 · arxiv_version: math/0509279v1 · doi: 10.48550/arxiv.math/0509279 · pith_short_12: G6GM2IRKDQ7G · pith_short_16: G6GM2IRKDQ7G5RMC · pith_short_8: G6GM2IRK

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/G6GM2IRKDQ7G5RMCGAGTBCNPOV \
  | 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: 378ccd222a1c3e6ec582300d3089af755035540957277a84e1fbcab22b4aba21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b36134486331d5cff074e34fec572c4b886b8188b2357389c5f228592373d713",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-09-13T14:10:41Z",
    "title_canon_sha256": "71e152d765da22ff870e18777cbc965c71894780c9a3044363eacfa78fcf10de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509279",
    "kind": "arxiv",
    "version": 1
  }
}