Pith Number

pith:LLV5NW2Y

pith:2011:LLV5NW2YKN7NEWQMBV27ORDENE

not attested not anchored not stored refs pending

Broken bracelets, Molien series, paraffin wax and an elliptic curve of conductor 48

Mah\.ir B\.ilen Can, Tewodros Amdeberhan, Victor H. Moll

arxiv:1106.4693 v1 · 2011-06-23 · math.CO · 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{LLV5NW2YKN7NEWQMBV27ORDENE}

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	2026-05-18T04:19:31.639065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aebd6db58537ed25a0c0d75f7446469092a13a50adaac239c1ea85bfa553dbf

Aliases

arxiv: 1106.4693 · arxiv_version: 1106.4693v1 · doi: 10.48550/arxiv.1106.4693 · pith_short_12: LLV5NW2YKN7N · pith_short_16: LLV5NW2YKN7NEWQM · pith_short_8: LLV5NW2Y

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/LLV5NW2YKN7NEWQMBV27ORDENE \
  | 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: 5aebd6db58537ed25a0c0d75f7446469092a13a50adaac239c1ea85bfa553dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef68e9efff48fcb4cbac832c1269a0a1b9985111c39e53d4c19140fd9d9cdb71",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-23T12:18:39Z",
    "title_canon_sha256": "784daa71ac5e9fbbde43174c455de8bb174302f0560b5b46f107c0bbc41baf0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4693",
    "kind": "arxiv",
    "version": 1
  }
}