Pith Number

pith:TGQ45S4F

pith:2013:TGQ45S4F5BQMGP26KVBXLUUR6V

not attested not anchored not stored refs pending

Growth of some transversely homogeneous foliations

Jes\'us A. \'Alvarez L\'opez, Robert Wolak

arxiv:1304.1939 v4 · 2013-04-06 · math.GT · 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{TGQ45S4F5BQMGP26KVBXLUUR6V}

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	2026-05-18T00:50:13.898404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a1cecb85e860c33f5e554375d291f54a0562bb01d5d51842f5bc7da7231bcd

Aliases

arxiv: 1304.1939 · arxiv_version: 1304.1939v4 · doi: 10.48550/arxiv.1304.1939 · pith_short_12: TGQ45S4F5BQM · pith_short_16: TGQ45S4F5BQMGP26 · pith_short_8: TGQ45S4F

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/TGQ45S4F5BQMGP26KVBXLUUR6V \
  | 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: 99a1cecb85e860c33f5e554375d291f54a0562bb01d5d51842f5bc7da7231bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a35f4f288e5ddeb6a746755d06a2c8ad1ff582f3230b524be03a4fe0fd3bc77",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-04-06T21:53:22Z",
    "title_canon_sha256": "4b4aaa6650edcea4c39f3103c332d5f1d3df9e4554d38e0b262b354c7368e24d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1939",
    "kind": "arxiv",
    "version": 4
  }
}