Pith Number

pith:7SG6FRUS

pith:2017:7SG6FRUS5D6SZE4JSEBSEXFV7Q

not attested not anchored not stored refs pending

On the number of perfect lattices

Roland Bacher (IF)

arxiv:1704.02234 v3 · 2017-04-07 · math.NT · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SG6FRUS5D6SZE4JSEBSEXFV7Q}

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	2026-05-18T00:36:24.268220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc8de2c692e8fd2c93899103225cb5fc194a751de9357a7fe7b1bbec945c7a86

Aliases

arxiv: 1704.02234 · arxiv_version: 1704.02234v3 · doi: 10.48550/arxiv.1704.02234 · pith_short_12: 7SG6FRUS5D6S · pith_short_16: 7SG6FRUS5D6SZE4J · pith_short_8: 7SG6FRUS

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/7SG6FRUS5D6SZE4JSEBSEXFV7Q \
  | 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: fc8de2c692e8fd2c93899103225cb5fc194a751de9357a7fe7b1bbec945c7a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c555baa02fc337dc56ea86dc9a885eb767a147ee389a65508790ea5668f3ebb",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-07T14:07:09Z",
    "title_canon_sha256": "36e13ec8880fe9507068d7eea3c605861427b6e652132089d0b3ce303e897966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02234",
    "kind": "arxiv",
    "version": 3
  }
}