Pith Number

pith:T6IFBBXL

pith:2014:T6IFBBXLSMHXTFX6T45JG3QUQE

not attested not anchored not stored refs pending

Counterexample to the $l$-modular Belfiore-Sol\'e Conjecture

Anne-Maria Ernvall-Hyt\"onen, B. A. Sethuraman

arxiv:1409.3188 v2 · 2014-09-10 · 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{T6IFBBXLSMHXTFX6T45JG3QUQE}

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	2026-05-18T02:33:00.981711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f905086eb930f7996fe9f3a936e1481398bc7533aef2c0e2d9c6cacd532bec2

Aliases

arxiv: 1409.3188 · arxiv_version: 1409.3188v2 · doi: 10.48550/arxiv.1409.3188 · pith_short_12: T6IFBBXLSMHX · pith_short_16: T6IFBBXLSMHXTFX6 · pith_short_8: T6IFBBXL

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/T6IFBBXLSMHXTFX6T45JG3QUQE \
  | 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: 9f905086eb930f7996fe9f3a936e1481398bc7533aef2c0e2d9c6cacd532bec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bec14a1f6e126d97230b60d2d26acbdbadd9e30f0e177dda40a371100b788331",
    "cross_cats_sorted": [
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-10T18:48:28Z",
    "title_canon_sha256": "d2254cb5fa4effcb1a48f4d8ac422bbef8e33630d95d39573831a5248d898ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3188",
    "kind": "arxiv",
    "version": 2
  }
}