Pith Number

pith:EJFWRJE2

pith:2005:EJFWRJE2LKUOOEAJ6MGHYCQ63I

not attested not anchored not stored refs pending

Tropical Arithmetic and Tropical Matrix Algebra

Zur Izhakian

arxiv:math/0505458 v3 · 2005-05-22 · math.AG · 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{EJFWRJE2LKUOOEAJ6MGHYCQ63I}

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	2026-05-18T04:42:44.933030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

224b68a49a5aa8e71009f30c7c0a1eda04c6c7e58c73fee696f47e59b812d6e3

Aliases

arxiv: math/0505458 · arxiv_version: math/0505458v3 · doi: 10.48550/arxiv.math/0505458 · pith_short_12: EJFWRJE2LKUO · pith_short_16: EJFWRJE2LKUOOEAJ · pith_short_8: EJFWRJE2

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/EJFWRJE2LKUOOEAJ6MGHYCQ63I \
  | 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: 224b68a49a5aa8e71009f30c7c0a1eda04c6c7e58c73fee696f47e59b812d6e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcf1bf9d09ed24a4240f9ba63195becca05ec5ede0c222e3cfb27f9813e326f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2005-05-22T17:09:28Z",
    "title_canon_sha256": "9c75e11a860b47269c7b359d50406df09a0b53b42b855e3ba5bc10f4f85e141e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505458",
    "kind": "arxiv",
    "version": 3
  }
}