Pith Number

pith:JIL7IGX5

pith:2011:JIL7IGX52KLSAFHZHM6T5HZLO3

not attested not anchored not stored refs pending

Some Extremal Self-Dual Codes and Unimodular Lattices in Dimension 40

Iliya Bouyukliev, Masaaki Harada, Stefka Bouyuklieva

arxiv:1111.2637 v2 · 2011-11-11 · math.CO · cs.IT · math.IT · 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{JIL7IGX52KLSAFHZHM6T5HZLO3}

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	2026-05-18T03:33:26.455430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a17f41afdd2972014f93b3d3e9f2b76e5cbfef7bffacf459277ca4fe28e06aa

Aliases

arxiv: 1111.2637 · arxiv_version: 1111.2637v2 · doi: 10.48550/arxiv.1111.2637 · pith_short_12: JIL7IGX52KLS · pith_short_16: JIL7IGX52KLSAFHZ · pith_short_8: JIL7IGX5

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/JIL7IGX52KLSAFHZHM6T5HZLO3 \
  | 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: 4a17f41afdd2972014f93b3d3e9f2b76e5cbfef7bffacf459277ca4fe28e06aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4ed0f440229f8900ca25a599ab32340c3b534c927c721f3861a7f8d2fdc10e",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-11T00:56:40Z",
    "title_canon_sha256": "a78ce1aa62392acdc01438bb9c9c46aa393d905c493bb38ae397cd1991745195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2637",
    "kind": "arxiv",
    "version": 2
  }
}