Pith Number

pith:DO7KQPAS

pith:2026:DO7KQPAS55LLNMAYXDDTDK4APK

not attested not anchored not stored refs pending

Preserving Hodge Vectors of Lattice Polytopes

Benjamin Nill, Vadym Kurylenko

arxiv:2602.20765 v2 · 2026-02-24 · 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{DO7KQPAS55LLNMAYXDDTDK4APK}

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	2026-06-24T01:15:01.377218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bbea83c12ef56b6b018b8c731ab807a8dad45ccaf4d3731017559fc41162464

Aliases

arxiv: 2602.20765 · arxiv_version: 2602.20765v2 · doi: 10.48550/arxiv.2602.20765 · pith_short_12: DO7KQPAS55LL · pith_short_16: DO7KQPAS55LLNMAY · pith_short_8: DO7KQPAS

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/DO7KQPAS55LLNMAYXDDTDK4APK \
  | 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: 1bbea83c12ef56b6b018b8c731ab807a8dad45ccaf4d3731017559fc41162464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a14419416d29167a6edb062db2ec6d3c8de4357e91fb369cf04232825924b3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-02-24T10:45:18Z",
    "title_canon_sha256": "c663e5c6b1c98cf715b79adde3ce2c55e0a77eef2ee7b454364424719d9ae741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.20765",
    "kind": "arxiv",
    "version": 2
  }
}