Pith Number

pith:ZHWK5LG4

pith:2012:ZHWK5LG4ULGYDO2K2ZXS7MARVR

not attested not anchored not stored refs pending

Lattice-point generating functions for free sums of convex sets

Matthias Beck, Pallavi Jayawant, Tyrrell B. McAllister

arxiv:1207.0164 v2 · 2012-06-30 · 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{ZHWK5LG4ULGYDO2K2ZXS7MARVR}

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	2026-05-18T01:12:58.965334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ecaeacdca2cd81bb4ad66f2fb011ac66fa1fa2482066009db09274ea66e296

Aliases

arxiv: 1207.0164 · arxiv_version: 1207.0164v2 · doi: 10.48550/arxiv.1207.0164 · pith_short_12: ZHWK5LG4ULGY · pith_short_16: ZHWK5LG4ULGYDO2K · pith_short_8: ZHWK5LG4

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/ZHWK5LG4ULGYDO2K2ZXS7MARVR \
  | 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: c9ecaeacdca2cd81bb4ad66f2fb011ac66fa1fa2482066009db09274ea66e296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9abd438b504d5462138a8cf5c24b022ab421025809c1f6da9f5dd141a6655b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-30T22:56:55Z",
    "title_canon_sha256": "3036e30afbe492ac2543c613e926de215e669080718f52fa388aac35d08d4808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0164",
    "kind": "arxiv",
    "version": 2
  }
}