Pith Number

pith:AY2LOZQC

pith:1999:AY2LOZQCU3CLACX2RVA4BSPFCF

not attested not anchored not stored refs pending

Classification of positive definite lattices

R. E. Borcherds

arxiv:math/9912236 v1 · 1999-12-30 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AY2LOZQCU3CLACX2RVA4BSPFCF}

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.

Cited by

1 paper in Pith

A finite 6d supergravity landscape from anomalies

Receipt and verification

First computed	2026-07-04T14:41:33.332701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0634b76602a6c4b00afa8d41c0c9e5115009be4e5aeabc42ae4a23c600274373

Aliases

arxiv: math/9912236 · arxiv_version: math/9912236v1 · doi: 10.48550/arxiv.math/9912236 · pith_short_12: AY2LOZQCU3CL · pith_short_16: AY2LOZQCU3CLACX2 · pith_short_8: AY2LOZQC

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/AY2LOZQCU3CLACX2RVA4BSPFCF \
  | 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: 0634b76602a6c4b00afa8d41c0c9e5115009be4e5aeabc42ae4a23c600274373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e0326f60c59297589061b20f8d0540a84f8b04f9c8c0d6f6d3f6513d51c6e1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1999-12-30T20:50:33Z",
    "title_canon_sha256": "722cc597cfc4420cbee9029e049e32664ae5ed116db0f76527b2df99fc96dc1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912236",
    "kind": "arxiv",
    "version": 1
  }
}