Pith Number

pith:GE7PPXQY

pith:2017:GE7PPXQYPFU7VIVUCH2JZHY4XZ

not attested not anchored not stored refs pending

Volumes and distributions for random unimodular complex and quaternion lattices

Jiyuan Zhang, Peter J. Forrester

arxiv:1709.08960 v2 · 2017-09-26 · math.NT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GE7PPXQYPFU7VIVUCH2JZHY4XZ}

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	2026-05-18T00:13:05.210155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313ef7de187969faa2b411f49c9f1cbe6a71613ffcd8c0cc8016fa7baffb599c

Aliases

arxiv: 1709.08960 · arxiv_version: 1709.08960v2 · doi: 10.48550/arxiv.1709.08960 · pith_short_12: GE7PPXQYPFU7 · pith_short_16: GE7PPXQYPFU7VIVU · pith_short_8: GE7PPXQY

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/GE7PPXQYPFU7VIVUCH2JZHY4XZ \
  | 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: 313ef7de187969faa2b411f49c9f1cbe6a71613ffcd8c0cc8016fa7baffb599c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b21e57ece1a2a3f64fdbe3073315579a3516148dc71487bba66a3ec3160fb82",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-26T12:11:36Z",
    "title_canon_sha256": "b094e55adea3c555f922994a7e351c4d17702c69cff2113178b6358988010ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08960",
    "kind": "arxiv",
    "version": 2
  }
}