Pith Number

pith:CSBASJG3

pith:2018:CSBASJG3QEVBG5WKY4BFJXEN3X

not attested not anchored not stored refs pending

Counting Integral Points in Polytopes via Numerical Analysis of Contour Integration

Hiroshi Hirai, Ken'ichiro Tanaka, Ryunosuke Oshiro

arxiv:1807.05348 v1 · 2018-07-14 · cs.DM · 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{CSBASJG3QEVBG5WKY4BFJXEN3X}

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	2026-05-18T00:10:43.754697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14820924db812a1376cac70254dc8dddd55b5826b91c92393abe1129a48a8f8c

Aliases

arxiv: 1807.05348 · arxiv_version: 1807.05348v1 · doi: 10.48550/arxiv.1807.05348 · pith_short_12: CSBASJG3QEVB · pith_short_16: CSBASJG3QEVBG5WK · pith_short_8: CSBASJG3

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/CSBASJG3QEVBG5WKY4BFJXEN3X \
  | 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: 14820924db812a1376cac70254dc8dddd55b5826b91c92393abe1129a48a8f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d021c0d45fc7c8324b7a0ff1ab76fb95546f4e49c8d8ebaba2edcc77d06f1b19",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-07-14T07:30:35Z",
    "title_canon_sha256": "31274e16ea8e08373541e95bd3a09fd96baddcf5ffc8ed1bbd0821632b88eb66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05348",
    "kind": "arxiv",
    "version": 1
  }
}