Pith Number

pith:OP2NEDXU

pith:2014:OP2NEDXU6XDYEBHMSN3XEE2YGL

not attested not anchored not stored refs pending

An explicit formula for the Dirac multiplicities on lens spaces

Emilio A. Lauret, Sebastian Boldt

arxiv:1412.2599 v1 · 2014-12-08 · math.DG · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OP2NEDXU6XDYEBHMSN3XEE2YGL}

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	2026-05-18T00:41:18.633464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f4d20ef4f5c78204ec937772135832d676f6bb7c3c406913f990d348ace2b5

Aliases

arxiv: 1412.2599 · arxiv_version: 1412.2599v1 · doi: 10.48550/arxiv.1412.2599 · pith_short_12: OP2NEDXU6XDY · pith_short_16: OP2NEDXU6XDYEBHM · pith_short_8: OP2NEDXU

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/OP2NEDXU6XDYEBHMSN3XEE2YGL \
  | 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: 73f4d20ef4f5c78204ec937772135832d676f6bb7c3c406913f990d348ace2b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcfe4e83be086bfef12e840beb2f119bfaad04a682a7d70bb5afc2a8aaa12be0",
    "cross_cats_sorted": [
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-08T15:09:50Z",
    "title_canon_sha256": "57bb5127292243fb7ec0f809ac7e9e36c416542e0e5accc1d918acac673b9007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2599",
    "kind": "arxiv",
    "version": 1
  }
}