Pith Number

pith:6TJK3XSK

pith:2025:6TJK3XSKIKXVSE6G6B53BKBGKU

not attested not anchored not stored refs pending

Graded Ehrhart theory and toric geometry

Ian Cavey

arxiv:2508.19176 v1 · 2025-08-26 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TJK3XSKIKXVSE6G6B53BKBGKU}

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	2026-07-05T11:59:38.618762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4d2adde4a42af5913c6f07bb0a8265503d53b3e2ea345771d48a168cdb3e1fb

Aliases

arxiv: 2508.19176 · arxiv_version: 2508.19176v1 · doi: 10.48550/arxiv.2508.19176 · pith_short_12: 6TJK3XSKIKXV · pith_short_16: 6TJK3XSKIKXVSE6G · pith_short_8: 6TJK3XSK

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/6TJK3XSKIKXVSE6G6B53BKBGKU \
  | 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: f4d2adde4a42af5913c6f07bb0a8265503d53b3e2ea345771d48a168cdb3e1fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2efb26b538eca14ce8632c96263fccafeab020df96db0acbb9119af57907aec6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-26T16:27:22Z",
    "title_canon_sha256": "4bc80d332bebc82d78664a6dbd60cc62ea6f33519078a58adb3adc7863eed16b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19176",
    "kind": "arxiv",
    "version": 1
  }
}