Pith Number

pith:HO4YGQGF

pith:2011:HO4YGQGFLMULB3IQVSCFUGRKNE

not attested not anchored not stored refs pending

Rigidity of stable cylinders in three-manifolds

Jose M. Espinar

arxiv:1104.3252 v1 · 2011-04-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HO4YGQGFLMULB3IQVSCFUGRKNE}

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	2026-05-18T04:24:05.434417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bb98340c55b28b0ed10ac845a1a2a69241b898b1779315944882a29bc715100

Aliases

arxiv: 1104.3252 · arxiv_version: 1104.3252v1 · doi: 10.48550/arxiv.1104.3252 · pith_short_12: HO4YGQGFLMUL · pith_short_16: HO4YGQGFLMULB3IQ · pith_short_8: HO4YGQGF

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/HO4YGQGFLMULB3IQVSCFUGRKNE \
  | 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: 3bb98340c55b28b0ed10ac845a1a2a69241b898b1779315944882a29bc715100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e629c0343475705054c01b6aa543a4827fb7df15d4d23b90cb779087045077f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-16T18:12:43Z",
    "title_canon_sha256": "1b52d866a33d89ba61b85d217733667e2733018a1db4120091be466d4b105584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3252",
    "kind": "arxiv",
    "version": 1
  }
}