Pith Number

pith:S44UABE2

pith:2012:S44UABE23YCHVDFNIYILAWBVA5

not attested not anchored not stored refs pending

Tropical Incidence Relations, Polytopes, and Concordant Matroids

Mohammad Moinul Haque

arxiv:1211.2841 v2 · 2012-11-12 · 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{S44UABE23YCHVDFNIYILAWBVA5}

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.

Cited by

1 paper in Pith

Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points

Receipt and verification

First computed	2026-05-18T03:40:50.841070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973940049ade047a8cad4610b0583507612aad2fd5b5d82e4a1a1d85ea70356a

Aliases

arxiv: 1211.2841 · arxiv_version: 1211.2841v2 · doi: 10.48550/arxiv.1211.2841 · pith_short_12: S44UABE23YCH · pith_short_16: S44UABE23YCHVDFN · pith_short_8: S44UABE2

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/S44UABE23YCHVDFNIYILAWBVA5 \
  | 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: 973940049ade047a8cad4610b0583507612aad2fd5b5d82e4a1a1d85ea70356a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74505e63d75397608600555b7aeca48a365f6eb34395c6a144dee150684e1571",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-12T21:52:50Z",
    "title_canon_sha256": "faa7c324ac88dc58e1b8e8a8fe34a3abafd1e03bf8ca02db41ecb8a2c75c235d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2841",
    "kind": "arxiv",
    "version": 2
  }
}