Pith Number

pith:VDY3J7QY

pith:2019:VDY3J7QYLOBFN4LU2BK7QL63PQ

not attested not anchored not stored refs pending

A walk on max-plus algebra

Akiko Fukuda, Etsuo Segawa, Iwao Sato, Sennosuke Watanabe

arxiv:1908.09051 v2 · 2019-08-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDY3J7QYLOBFN4LU2BK7QL63PQ}

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	2026-07-05T00:00:35.336044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f1b4fe185b8256f174d055f82fdb7c38a9fb5b14dbcc8fc26f03ffc5c32f3e

Aliases

arxiv: 1908.09051 · arxiv_version: 1908.09051v2 · doi: 10.48550/arxiv.1908.09051 · pith_short_12: VDY3J7QYLOBF · pith_short_16: VDY3J7QYLOBFN4LU · pith_short_8: VDY3J7QY

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/VDY3J7QYLOBFN4LU2BK7QL63PQ \
  | 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: a8f1b4fe185b8256f174d055f82fdb7c38a9fb5b14dbcc8fc26f03ffc5c32f3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44888b4c1a00a7d04c411f5fa90c280302a814ca9aab34236701c46124f4f674",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-23T23:57:30Z",
    "title_canon_sha256": "a4b239ec80b203b5ca6f3eebc998a7df24f0a69e92936a1fbdb24d1047de43df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09051",
    "kind": "arxiv",
    "version": 2
  }
}