Pith Number

pith:46F6DM6S

pith:2010:46F6DM6S2RNFWYJWEHFZQM5KSX

not attested not anchored not stored refs pending

On the number of points in a lattice polytope

Arseniy Akopyan, Makoto Tagami

arxiv:1004.1661 v3 · 2010-04-09 · 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{46F6DM6S2RNFWYJWEHFZQM5KSX}

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	2026-05-18T00:35:14.312519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e78be1b3d2d45a5b613621cb9833aa95e18a06a7434175871d1c2bc8c939afd6

Aliases

arxiv: 1004.1661 · arxiv_version: 1004.1661v3 · doi: 10.48550/arxiv.1004.1661 · pith_short_12: 46F6DM6S2RNF · pith_short_16: 46F6DM6S2RNFWYJW · pith_short_8: 46F6DM6S

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/46F6DM6S2RNFWYJWEHFZQM5KSX \
  | 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: e78be1b3d2d45a5b613621cb9833aa95e18a06a7434175871d1c2bc8c939afd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad07115efece1a846af9f9d540d8d94e8764dc7682b1f3f603c2d7b35b4087c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-09T23:27:03Z",
    "title_canon_sha256": "268704e2d72159b7b531e95a5d1de61da3c83f7aed9ce5690ea958c00e1e26c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1661",
    "kind": "arxiv",
    "version": 3
  }
}