Pith Number

pith:BZ4UY3JJ

pith:2012:BZ4UY3JJ225MQLFRVAOB3XPVR3

not attested not anchored not stored refs pending

Minimizing the number of lattice points in a translated polygon

Friedrich Eisenbrand, Nicolai H\"ahnle

arxiv:1207.0979 v1 · 2012-07-04 · cs.CC · 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{BZ4UY3JJ225MQLFRVAOB3XPVR3}

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	2026-05-18T03:51:47.813211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e794c6d29d6bac82cb1a81c1dddf58ed5e9a40ab9cac54a17d99eb412ff3afc

Aliases

arxiv: 1207.0979 · arxiv_version: 1207.0979v1 · doi: 10.48550/arxiv.1207.0979 · pith_short_12: BZ4UY3JJ225M · pith_short_16: BZ4UY3JJ225MQLFR · pith_short_8: BZ4UY3JJ

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/BZ4UY3JJ225MQLFRVAOB3XPVR3 \
  | 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: 0e794c6d29d6bac82cb1a81c1dddf58ed5e9a40ab9cac54a17d99eb412ff3afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac371014ebe60aa7a9a32dba255efc914394b6968be875723611efa8be3a19c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-07-04T13:34:33Z",
    "title_canon_sha256": "c514cfd66fc17d9c9062d9446a51d9f98aef6de5a2019207d4924e0aefa1b876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0979",
    "kind": "arxiv",
    "version": 1
  }
}