Pith Number

pith:MLTFGHYR

pith:2009:MLTFGHYRWEAOJJ5NQEUO4IWWNE

not attested not anchored not stored refs pending

Buchsbaum* complexes

Christos A. Athanasiadis, Volkmar Welker

arxiv:0909.1931 v3 · 2009-09-10 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLTFGHYRWEAOJJ5NQEUO4IWWNE}

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	2026-05-18T04:16:10.773146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e6531f11b100e4a7ad8128ee22d6690d6c5aafc14914a9911cb53a0e85e2d6

Aliases

arxiv: 0909.1931 · arxiv_version: 0909.1931v3 · doi: 10.48550/arxiv.0909.1931 · pith_short_12: MLTFGHYRWEAO · pith_short_16: MLTFGHYRWEAOJJ5N · pith_short_8: MLTFGHYR

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/MLTFGHYRWEAOJJ5NQEUO4IWWNE \
  | 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: 62e6531f11b100e4a7ad8128ee22d6690d6c5aafc14914a9911cb53a0e85e2d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6c93f97cebc0010b24fe48f6dea5bb4224d9a4e563ce541c9e4829553e07f1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-10T11:43:43Z",
    "title_canon_sha256": "cc29481af5cbd5a9ce531a50d80fd6ffe239602db583e294e3eaa8fc977b2acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1931",
    "kind": "arxiv",
    "version": 3
  }
}