Pith Number

pith:CMHKKR5P

pith:2010:CMHKKR5PLJ4EQPCKZ23WBDD2JK

not attested not anchored not stored refs pending

Equivariant Ehrhart theory

Alan Stapledon

arxiv:1003.5875 v3 · 2010-03-30 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMHKKR5PLJ4EQPCKZ23WBDD2JK}

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	2026-05-18T02:32:12.418387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130ea547af5a78483c4aceb7608c7a4ab0bffc457f98741c94962e443ed252ca

Aliases

arxiv: 1003.5875 · arxiv_version: 1003.5875v3 · doi: 10.48550/arxiv.1003.5875 · pith_short_12: CMHKKR5PLJ4E · pith_short_16: CMHKKR5PLJ4EQPCK · pith_short_8: CMHKKR5P

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/CMHKKR5PLJ4EQPCKZ23WBDD2JK \
  | 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: 130ea547af5a78483c4aceb7608c7a4ab0bffc457f98741c94962e443ed252ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0ae4bedf0d44ceffb96cd9995bc57f1a0487e02908a817bcb1649540e2ba0e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-30T17:44:55Z",
    "title_canon_sha256": "a8436b7dfc91a79453ab825771f30e5785f2b0f8bbc45d6e4fd546c70d252913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5875",
    "kind": "arxiv",
    "version": 3
  }
}