Pith Number

pith:O5RPP4LP

pith:2016:O5RPP4LPIBYRQAXMDC3ZBJVIGW

not attested not anchored not stored refs pending

Enumeration of lattice 3-polytopes by their number of lattice points

Francisco Santos, M\'onica Blanco

arxiv:1601.02577 v3 · 2016-01-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5RPP4LPIBYRQAXMDC3ZBJVIGW}

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	2026-05-18T00:05:41.141275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7762f7f16f40711802ec18b790a6a835b5332ae84ee691303d0eef204fa21e9a

Aliases

arxiv: 1601.02577 · arxiv_version: 1601.02577v3 · doi: 10.48550/arxiv.1601.02577 · pith_short_12: O5RPP4LPIBYR · pith_short_16: O5RPP4LPIBYRQAXM · pith_short_8: O5RPP4LP

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/O5RPP4LPIBYRQAXMDC3ZBJVIGW \
  | 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: 7762f7f16f40711802ec18b790a6a835b5332ae84ee691303d0eef204fa21e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29fbba7421df89f2852b4cf4c9fd148e63dfb4d8ae5ebe034a11022f9c2d2eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-11T20:13:53Z",
    "title_canon_sha256": "a3e1a1295b06e01d9ae18fec89cfef351444f6203698d6477ebf5f8ce239a4cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02577",
    "kind": "arxiv",
    "version": 3
  }
}