Pith Number

pith:FLJ2QJR2

pith:2017:FLJ2QJR2WAZTWSNHMIYIKAI6JK

not attested not anchored not stored refs pending

A note on identities in plactic monoids and monoids of upper-triangular tropical matrices

Alan J. Cain, Ant\'onio Malheiro, Georg Klein, Jan Okni\'nski, {\L}ukasz Kubat

arxiv:1705.04596 v1 · 2017-05-12 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLJ2QJR2WAZTWSNHMIYIKAI6JK}

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	2026-05-18T00:44:37.696765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ad3a8263ab0333b49a7623085011e4ab1016e202fbe095320b26f076965d64b

Aliases

arxiv: 1705.04596 · arxiv_version: 1705.04596v1 · doi: 10.48550/arxiv.1705.04596 · pith_short_12: FLJ2QJR2WAZT · pith_short_16: FLJ2QJR2WAZTWSNH · pith_short_8: FLJ2QJR2

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/FLJ2QJR2WAZTWSNHMIYIKAI6JK \
  | 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: 2ad3a8263ab0333b49a7623085011e4ab1016e202fbe095320b26f076965d64b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0469e903beff3ad6c4b148cb1b983947834bccdeab2d6eda4c5dac2e10b08e11",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-12T14:35:57Z",
    "title_canon_sha256": "0127ba45f5308a7c61904f847723e256a49ad4a4c53e186d5736b4d5d9185357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04596",
    "kind": "arxiv",
    "version": 1
  }
}