Pith Number

pith:3VTMRYAD

pith:2016:3VTMRYADWMOPCFB6GJBMALVI53

not attested not anchored not stored refs pending

Detecting the Integer Decomposition Property and Ehrhart Unimodality in Reflexive Simplices

Benjamin Braun, Liam Solus, Robert Davis

arxiv:1608.01614 v3 · 2016-08-04 · math.CO · math.AC · 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{3VTMRYADWMOPCFB6GJBMALVI53}

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	2026-05-18T00:14:29.214189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd66c8e003b31cf1143e3242c02ea8eefe82a683c3d6889ed2ee52a5944eb492

Aliases

arxiv: 1608.01614 · arxiv_version: 1608.01614v3 · doi: 10.48550/arxiv.1608.01614 · pith_short_12: 3VTMRYADWMOP · pith_short_16: 3VTMRYADWMOPCFB6 · pith_short_8: 3VTMRYAD

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/3VTMRYADWMOPCFB6GJBMALVI53 \
  | 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: dd66c8e003b31cf1143e3242c02ea8eefe82a683c3d6889ed2ee52a5944eb492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116b0a033e408c67da1ffd1876eb78cbb279b9ba0c3a716cf67d3131f27877b7",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-04T17:14:11Z",
    "title_canon_sha256": "d57ae68470f5207241799e7c24b35963181c1bb4fea53251d537592f4e9cbf15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01614",
    "kind": "arxiv",
    "version": 3
  }
}