Pith Number

pith:RDJA3N2T

pith:2009:RDJA3N2TFEFTQW6OPF4NSFZDOD

not attested not anchored not stored refs pending

Multiplicative structure of 2x2 tropical matrices

Marianne Johnson, Mark Kambites

arxiv:0907.0314 v1 · 2009-07-02 · 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{RDJA3N2TFEFTQW6OPF4NSFZDOD}

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	2026-07-04T15:45:22.349717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88d20db753290b385bce7978d9172370ecd76f616516a944b81f43a92634702b

Aliases

arxiv: 0907.0314 · arxiv_version: 0907.0314v1 · doi: 10.48550/arxiv.0907.0314 · pith_short_12: RDJA3N2TFEFT · pith_short_16: RDJA3N2TFEFTQW6O · pith_short_8: RDJA3N2T

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/RDJA3N2TFEFTQW6OPF4NSFZDOD \
  | 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: 88d20db753290b385bce7978d9172370ecd76f616516a944b81f43a92634702b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1dabaa288a7b8ea7fab06e6f2d698712b13ee59fa596341cac418742c967822",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-07-02T09:02:26Z",
    "title_canon_sha256": "8fe9c2576fe600fabe5dc3bf32527d90b2965e0d24d2cc15b75cbd2ebc450439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0314",
    "kind": "arxiv",
    "version": 1
  }
}