Pith Number

pith:4UUALM7S

pith:2009:4UUALM7SL4SQGQAKBSGNZJOGX6

not attested not anchored not stored refs pending

On the structure of Stanley-Reisner rings associated to cyclic polytopes

Janko Boehm, Stavros Argyrios Papadakis

arxiv:0912.2152 v2 · 2009-12-11 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UUALM7SL4SQGQAKBSGNZJOGX6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:50:48.933667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52805b3f25f2503400a0c8cdca5c6bf90d9982107c81373ae9c2127f0c739d8

Aliases

arxiv: 0912.2152 · arxiv_version: 0912.2152v2 · doi: 10.48550/arxiv.0912.2152 · pith_short_12: 4UUALM7SL4SQ · pith_short_16: 4UUALM7SL4SQGQAK · pith_short_8: 4UUALM7S

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/4UUALM7SL4SQGQAKBSGNZJOGX6 \
  | 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: e52805b3f25f2503400a0c8cdca5c6bf90d9982107c81373ae9c2127f0c739d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b54edc2f1b76a4badfe68b30dd558d6e33485822bdc5e262c7ee03cbf4c07134",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-12-11T05:34:19Z",
    "title_canon_sha256": "1113ec14781ada043b9bc19f13096dabe2726a2886964ce090b94ec12007fad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2152",
    "kind": "arxiv",
    "version": 2
  }
}