Pith Number

pith:5LETB6WI

pith:2008:5LETB6WIAMF4RCFIEXTWC7L3EK

not attested not anchored not stored refs pending

Matroid polytopes and their volumes

Carolina Benedetti, Federico Ardila, Jeffrey Doker

arxiv:0810.3947 v3 · 2008-10-22 · math.CO · 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{5LETB6WIAMF4RCFIEXTWC7L3EK}

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	2026-05-18T03:36:16.748399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac930fac8030bc888a825e7617d7b22b8c323276e71b08997610182f39f67ea

Aliases

arxiv: 0810.3947 · arxiv_version: 0810.3947v3 · doi: 10.48550/arxiv.0810.3947 · pith_short_12: 5LETB6WIAMF4 · pith_short_16: 5LETB6WIAMF4RCFI · pith_short_8: 5LETB6WI

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/5LETB6WIAMF4RCFIEXTWC7L3EK \
  | 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: eac930fac8030bc888a825e7617d7b22b8c323276e71b08997610182f39f67ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ea9992b520a61188dd52cf21248f831db1473dfc5f78abb9fe25e666bf65520",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-10-22T00:28:01Z",
    "title_canon_sha256": "05a09d5d31d65857a1e098619eed2e2aa475f8ea3c021f3e5a382c3e00a2c120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3947",
    "kind": "arxiv",
    "version": 3
  }
}