Pith Number

pith:K5LFYUBZ

pith:2013:K5LFYUBZKEKS5BEYC5JEHNB2BF

not attested not anchored not stored refs pending

Finite rigid sets and homologically non-trivial spheres in the curve complex of a surface

Joan Birman, Nathan Broaddus, William Menasco

arxiv:1311.7646 v3 · 2013-11-29 · 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{K5LFYUBZKEKS5BEYC5JEHNB2BF}

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	2026-05-18T02:50:13.171365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57565c503951152e8498175243b43a094caefe6495f42cf8986baf01c5634642

Aliases

arxiv: 1311.7646 · arxiv_version: 1311.7646v3 · doi: 10.48550/arxiv.1311.7646 · pith_short_12: K5LFYUBZKEKS · pith_short_16: K5LFYUBZKEKS5BEY · pith_short_8: K5LFYUBZ

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/K5LFYUBZKEKS5BEYC5JEHNB2BF \
  | 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: 57565c503951152e8498175243b43a094caefe6495f42cf8986baf01c5634642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4843d6678fc7b291a62efeaf997598e3ae1030ed76d44014e22f4a2b81784d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-29T17:52:24Z",
    "title_canon_sha256": "ba14423d418035e1032c666d271c77e7aabc4264478d8de7a1111fec4e831760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7646",
    "kind": "arxiv",
    "version": 3
  }
}