Pith Number

pith:MD5GH7Y3

pith:2010:MD5GH7Y3UYWKT27HJR2QOGWC63

not attested not anchored not stored refs pending

Generalized Ehrhart polynomials

Nan Li, Sheng Chen, Steven V Sam

arxiv:1002.3658 v2 · 2010-02-19 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MD5GH7Y3UYWKT27HJR2QOGWC63}

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	2026-05-18T04:12:18.773510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60fa63ff1ba62ca9ebe74c75071ac2f6dc7c6e3ffb02953fef7a44bb6c878846

Aliases

arxiv: 1002.3658 · arxiv_version: 1002.3658v2 · doi: 10.48550/arxiv.1002.3658 · pith_short_12: MD5GH7Y3UYWK · pith_short_16: MD5GH7Y3UYWKT27H · pith_short_8: MD5GH7Y3

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/MD5GH7Y3UYWKT27HJR2QOGWC63 \
  | 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: 60fa63ff1ba62ca9ebe74c75071ac2f6dc7c6e3ffb02953fef7a44bb6c878846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "459e62259d952cea5bf970c435947b0477a3b542489d0edd318ab8006e68c126",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-19T02:27:08Z",
    "title_canon_sha256": "6834400c030601cc4e0e8891a7450edf5a4fb151459e2d76ee7e08ceb765b54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3658",
    "kind": "arxiv",
    "version": 2
  }
}