Pith Number

pith:M777LSIC

pith:2009:M777LSIC2DXL5PXGANYASWUFRU

not attested not anchored not stored refs pending

Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80

Noam D. Elkies, Scott D. Kominers

arxiv:0905.4306 v1 · 2009-05-27 · 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{M777LSIC2DXL5PXGANYASWUFRU}

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	2026-05-18T04:32:19.894070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67fff5c902d0eebebee60370095a858d188ff18e9e576d4ce2c50402ad28c9a7

Aliases

arxiv: 0905.4306 · arxiv_version: 0905.4306v1 · doi: 10.48550/arxiv.0905.4306 · pith_short_12: M777LSIC2DXL · pith_short_16: M777LSIC2DXL5PXG · pith_short_8: M777LSIC

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/M777LSIC2DXL5PXGANYASWUFRU \
  | 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: 67fff5c902d0eebebee60370095a858d188ff18e9e576d4ce2c50402ad28c9a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfecd8262b8e0f8044d9c099b4b5fc321ce55a8e65b619733b8010d6cbddb0fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-27T19:20:48Z",
    "title_canon_sha256": "4151dc21f6eb9a0c4a164db24576fd500d4bc4b4288b017e59bea840381a8c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4306",
    "kind": "arxiv",
    "version": 1
  }
}