Pith Number

pith:7GAKQPG7

pith:2013:7GAKQPG75D2J56LDL7NQBCAYZP

not attested not anchored not stored refs pending

On the toric ideal of a matroid

Mateusz Micha{\l}ek, Micha{\l} Laso\'n

arxiv:1302.5236 v3 · 2013-02-21 · math.CO · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GAKQPG75D2J56LDL7NQBCAYZP}

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	2026-05-18T02:55:18.591797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f980a83cdfe8f49ef9635fdb008818cbe553c4ef1b9e836f47cff8273df28332

Aliases

arxiv: 1302.5236 · arxiv_version: 1302.5236v3 · doi: 10.48550/arxiv.1302.5236 · pith_short_12: 7GAKQPG75D2J · pith_short_16: 7GAKQPG75D2J56LD · pith_short_8: 7GAKQPG7

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/7GAKQPG75D2J56LDL7NQBCAYZP \
  | 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: f980a83cdfe8f49ef9635fdb008818cbe553c4ef1b9e836f47cff8273df28332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e535c26ed45eefc5bd3e90545cad9f36c1e72cc5db83541d00fb9cbd7fef5c",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-21T10:10:27Z",
    "title_canon_sha256": "dcd0886aef4def2dbccc61d33503a86fe720e9b894228048b2372bf0376d68a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5236",
    "kind": "arxiv",
    "version": 3
  }
}