Pith Number

pith:3AHFYQTL

pith:2013:3AHFYQTLDZKAR53XJ2ZHFV7OSD

not attested not anchored not stored refs pending

The ultimate rank of tropical matrices

Glenn Merlet, Jean Mairesse, Pierre Guillon, Zur Izhakian

arxiv:1305.4260 v1 · 2013-05-18 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AHFYQTLDZKAR53XJ2ZHFV7OSD}

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	2026-05-18T03:25:24.359851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80e5c426b1e5408f7774eb272d7ee90f3ef1e4fe4a886a97293db675111926e

Aliases

arxiv: 1305.4260 · arxiv_version: 1305.4260v1 · doi: 10.48550/arxiv.1305.4260 · pith_short_12: 3AHFYQTLDZKA · pith_short_16: 3AHFYQTLDZKAR53X · pith_short_8: 3AHFYQTL

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/3AHFYQTLDZKAR53XJ2ZHFV7OSD \
  | 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: d80e5c426b1e5408f7774eb272d7ee90f3ef1e4fe4a886a97293db675111926e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02eaaf83d69b02c641aa77a53265c0aa02b5d5df2a953aa447179f1826a28f56",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-05-18T13:06:38Z",
    "title_canon_sha256": "ee1e4831878b6d29206f7ac219144b559b2139bc515fd5e33529f9c6a95ee179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4260",
    "kind": "arxiv",
    "version": 1
  }
}