Pith Number

pith:W4XZYKIK

pith:2021:W4XZYKIKP7RDPXA7GNKFRHUJ2S

not attested not anchored not stored refs pending

Enumerating integer points in polytopes with bounded subdeterminants

Amitabh Basu, Hongyi Jiang

arxiv:2102.09994 v3 · 2021-02-19 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4XZYKIKP7RDPXA7GNKFRHUJ2S}

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	2026-07-05T03:05:01.018009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b72f9c290a7fe237dc1f3354589e89d48abbf559a0a0d10c84c65004b2eb7aef

Aliases

arxiv: 2102.09994 · arxiv_version: 2102.09994v3 · doi: 10.48550/arxiv.2102.09994 · pith_short_12: W4XZYKIKP7RD · pith_short_16: W4XZYKIKP7RDPXA7 · pith_short_8: W4XZYKIK

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/W4XZYKIKP7RDPXA7GNKFRHUJ2S \
  | 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: b72f9c290a7fe237dc1f3354589e89d48abbf559a0a0d10c84c65004b2eb7aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a03dfeac8a8dd86d312b3dc02bfbbb6952198c7a2147f6ed2dad8a132807b9",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-02-19T15:47:00Z",
    "title_canon_sha256": "854566abacc088c82f12a515966d5977eef0ef147a0920b8ce23c66d7a7eb56d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09994",
    "kind": "arxiv",
    "version": 3
  }
}