Pith Number

pith:NSCAYE5M

pith:2014:NSCAYE5MRX76PRGUQDHTE5ONFG

not attested not anchored not stored refs pending

Inflexibility, Weil-Petersson distance, and volumes of fibered 3-manifolds

Jeffrey Brock, Kenneth Bromberg

arxiv:1412.0733 v2 · 2014-12-01 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSCAYE5MRX76PRGUQDHTE5ONFG}

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	2026-05-18T02:31:10.626292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c840c13ac8dffe7c4d480cf3275cd299008d5a5cee79ea63811872c272453eb

Aliases

arxiv: 1412.0733 · arxiv_version: 1412.0733v2 · doi: 10.48550/arxiv.1412.0733 · pith_short_12: NSCAYE5MRX76 · pith_short_16: NSCAYE5MRX76PRGU · pith_short_8: NSCAYE5M

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/NSCAYE5MRX76PRGUQDHTE5ONFG \
  | 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: 6c840c13ac8dffe7c4d480cf3275cd299008d5a5cee79ea63811872c272453eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e54b89ee8d9b28e0169ef8117dfb9bd2b9e876586637fa7cd3fe8036a23f59fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-01T23:33:02Z",
    "title_canon_sha256": "847fbbb53ea93c220163d6aa23e07243ad0db750511f8b1a16f025e9d1b47e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0733",
    "kind": "arxiv",
    "version": 2
  }
}