Pith Number

pith:CYTX6OM3

pith:2015:CYTX6OM37XU6ITIA3CMW77XMNK

not attested not anchored not stored refs pending

LatticePolytopes: A package for computations with lattice polytopes in Macaulay2

Anders Lundman, Gustav S{\ae}d\'en St{\aa}hl

arxiv:1511.02685 v2 · 2015-11-09 · math.AG · 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{CYTX6OM37XU6ITIA3CMW77XMNK}

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	2026-05-18T01:27:21.835227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16277f399bfde9e44d00d8996ffeec6abf0652884b7d50a97e134caa1b71e8f0

Aliases

arxiv: 1511.02685 · arxiv_version: 1511.02685v2 · doi: 10.48550/arxiv.1511.02685 · pith_short_12: CYTX6OM37XU6 · pith_short_16: CYTX6OM37XU6ITIA · pith_short_8: CYTX6OM3

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/CYTX6OM37XU6ITIA3CMW77XMNK \
  | 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: 16277f399bfde9e44d00d8996ffeec6abf0652884b7d50a97e134caa1b71e8f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b1eb9811f528477f3d5e40562318123d6643846e1797deeb04d8d09818d0e7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-09T14:07:20Z",
    "title_canon_sha256": "f542d315a519670d6a200f3ea1bf1c6fca57d5b096000dcce187162d9000da13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02685",
    "kind": "arxiv",
    "version": 2
  }
}