Pith Number

pith:USPU7HZV

pith:2006:USPU7HZVI2DEOWTLEKFGYASXGJ

not attested not anchored not stored refs pending

Singular riemannian foliations with sections, transnormal maps and basic forms

Claudio Gorodski, Marcos Alexandrino

arxiv:math/0608069 v1 · 2006-08-02 · 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{USPU7HZVI2DEOWTLEKFGYASXGJ}

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	2026-05-18T04:19:41.440611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a49f4f9f354686475a6b228a6c025732411c27c159dff5ad0619aab6d3b06004

Aliases

arxiv: math/0608069 · arxiv_version: math/0608069v1 · doi: 10.48550/arxiv.math/0608069 · pith_short_12: USPU7HZVI2DE · pith_short_16: USPU7HZVI2DEOWTL · pith_short_8: USPU7HZV

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/USPU7HZVI2DEOWTLEKFGYASXGJ \
  | 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: a49f4f9f354686475a6b228a6c025732411c27c159dff5ad0619aab6d3b06004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51b3f35c1092c3b169c91dd3738b1d83adfbf4511e1745ef0771a048257fc20",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-08-02T21:41:28Z",
    "title_canon_sha256": "ad274eb2cab69bfd8f99246eade999f7862be24c906b953a6b6d5de831ebc016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608069",
    "kind": "arxiv",
    "version": 1
  }
}