Pith Number

pith:FAXEZOLM

pith:2011:FAXEZOLMXDTHZYJKZTBJ247KIR

not attested not anchored not stored refs pending

Unabridged table of reflective lattices of rank 3

Daniel Allcock

arxiv:1111.1264 v1 · 2011-11-04 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAXEZOLMXDTHZYJKZTBJ247KIR}

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	2026-05-18T04:09:26.528093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

282e4cb96cb8e67ce12accc29d73ea44632699097a7b838918cc77ad3c001485

Aliases

arxiv: 1111.1264 · arxiv_version: 1111.1264v1 · doi: 10.48550/arxiv.1111.1264 · pith_short_12: FAXEZOLMXDTH · pith_short_16: FAXEZOLMXDTHZYJK · pith_short_8: FAXEZOLM

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/FAXEZOLMXDTHZYJKZTBJ247KIR \
  | 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: 282e4cb96cb8e67ce12accc29d73ea44632699097a7b838918cc77ad3c001485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "111738e6271a8ba5c1163c092d604b7ed1e752f733108bacf27b610f530eef53",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-04T22:14:14Z",
    "title_canon_sha256": "bcde28791a7f04bbe2eccd5543a58243d49cea6bcc5812cf39d909dea6a9c0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1264",
    "kind": "arxiv",
    "version": 1
  }
}