Pith Number

pith:57VB3SUI

pith:2010:57VB3SUIJLHLBFGRX6I6QSARUW

not attested not anchored not stored refs pending

The set of realizations of a max-plus linear sequence is semi-polyhedral

CMAP), Natacha Portier (LIP), St\'ephane Gaubert (INRIA Saclay - Ile de France, Vincent Blondel (INMA)

arxiv:1010.3685 v1 · 2010-10-18 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57VB3SUIJLHLBFGRX6I6QSARUW}

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	2026-05-18T04:26:56.368745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efea1dca884aceb094d1bf91e84811a59c03e1405e2775024ba15256471a48e4

Aliases

arxiv: 1010.3685 · arxiv_version: 1010.3685v1 · doi: 10.48550/arxiv.1010.3685 · pith_short_12: 57VB3SUIJLHL · pith_short_16: 57VB3SUIJLHLBFGR · pith_short_8: 57VB3SUI

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/57VB3SUIJLHLBFGRX6I6QSARUW \
  | 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: efea1dca884aceb094d1bf91e84811a59c03e1405e2775024ba15256471a48e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "231f3a9a12d9cdabc831547f5785e8e89d346d2d6073d27e2b6b423adf58582b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-10-18T19:09:11Z",
    "title_canon_sha256": "28d137d5b87a4befc4c0e89e0df0e7b001ff8745aa7c5e2971c9f9b84677b9fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3685",
    "kind": "arxiv",
    "version": 1
  }
}