Pith Number

pith:32MA5MAF

pith:2013:32MA5MAFNNJJRRWKFUJUNZDM4P

not attested not anchored not stored refs pending

A dynamical characterization of universally tight lens spaces

Joan E. Licata, Pedro A. S. Salom\~ao, Umberto L. Hryniewicz

arxiv:1306.6617 v3 · 2013-06-27 · math.SG · math.DS · 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{32MA5MAFNNJJRRWKFUJUNZDM4P}

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	2026-05-18T00:44:29.681104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de980eb0056b5298c6ca2d1346e46ce3de5e1c19d7d6224c9c28e2d84acc828d

Aliases

arxiv: 1306.6617 · arxiv_version: 1306.6617v3 · doi: 10.48550/arxiv.1306.6617 · pith_short_12: 32MA5MAFNNJJ · pith_short_16: 32MA5MAFNNJJRRWK · pith_short_8: 32MA5MAF

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/32MA5MAFNNJJRRWKFUJUNZDM4P \
  | 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: de980eb0056b5298c6ca2d1346e46ce3de5e1c19d7d6224c9c28e2d84acc828d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe36b5912dc7fcf9e1292b5c7df23f73d73bac53128de54a068976de35fce58",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-06-27T19:37:47Z",
    "title_canon_sha256": "fc34ce2158c6b2ac7cdbbcaca49ad0ab74a37c639a3739de0e81f7d8f47aecdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6617",
    "kind": "arxiv",
    "version": 3
  }
}