Pith Number

pith:JQ6VUQF2

pith:2018:JQ6VUQF2BEJPV72P7SGVWENJ3K

not attested not anchored not stored refs pending

Enumeration of lattice polytopes by their volume

Gabriele Balletti

arxiv:1811.03357 v1 · 2018-11-08 · 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{JQ6VUQF2BEJPV72P7SGVWENJ3K}

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	2026-05-18T00:01:16.901401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c3d5a40ba0912faff4ffc8d5b11a9dab1ef14219ffd79ee8baaffee4096d2c1

Aliases

arxiv: 1811.03357 · arxiv_version: 1811.03357v1 · doi: 10.48550/arxiv.1811.03357 · pith_short_12: JQ6VUQF2BEJP · pith_short_16: JQ6VUQF2BEJPV72P · pith_short_8: JQ6VUQF2

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/JQ6VUQF2BEJPV72P7SGVWENJ3K \
  | 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: 4c3d5a40ba0912faff4ffc8d5b11a9dab1ef14219ffd79ee8baaffee4096d2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d254d245b2c45cdffe4d156c8b3cb7a6f2711c89549bcb92b3a05e7e6629f27c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-08T11:09:54Z",
    "title_canon_sha256": "59354fa38367db393622fc0e886119d990436b1f6f0e374e12376c7b00e5a5e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03357",
    "kind": "arxiv",
    "version": 1
  }
}