Pith Number

pith:ZVPQ5RFT

pith:2016:ZVPQ5RFTECXIVLH7K7X44MOZYM

not attested not anchored not stored refs pending

Rank gradients of infinite cyclic covers of Kaehler manifolds

Stefan Friedl, Stefano Vidussi

arxiv:1604.08267 v1 · 2016-04-27 · math.GT · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVPQ5RFTECXIVLH7K7X44MOZYM}

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	2026-05-17T23:57:49.028255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd5f0ec4b320ae8aacff57efce31d9c31e4d6739289bdf341b0e54e768851294

Aliases

arxiv: 1604.08267 · arxiv_version: 1604.08267v1 · doi: 10.48550/arxiv.1604.08267 · pith_short_12: ZVPQ5RFTECXI · pith_short_16: ZVPQ5RFTECXIVLH7 · pith_short_8: ZVPQ5RFT

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/ZVPQ5RFTECXIVLH7K7X44MOZYM \
  | 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: cd5f0ec4b320ae8aacff57efce31d9c31e4d6739289bdf341b0e54e768851294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbe11e1403afb10747d1cc5ddb07cfafbb9c1804077ad80b6c42f2e1fa56d0d6",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-27T23:29:40Z",
    "title_canon_sha256": "e9f62ae47762d6e8c324094df83ac1d3079c48090b67fa9b39acd1e8fd19a716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08267",
    "kind": "arxiv",
    "version": 1
  }
}