Pith Number

pith:PD2IL6YQ

pith:2007:PD2IL6YQ3BZRFN3F2ZNUPQY7K5

not attested not anchored not stored refs pending

Equifocality of a singular riemannian foliation

Dirk Toeben, Marcos M. Alexandrino

arxiv:0704.3251 v2 · 2007-04-24 · 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{PD2IL6YQ3BZRFN3F2ZNUPQY7K5}

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	2026-05-18T04:30:26.906366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f485fb10d87312b765d65b47c31f5775f824ec8d4133366209d0f7d9a922d2

Aliases

arxiv: 0704.3251 · arxiv_version: 0704.3251v2 · doi: 10.48550/arxiv.0704.3251 · pith_short_12: PD2IL6YQ3BZR · pith_short_16: PD2IL6YQ3BZRFN3F · pith_short_8: PD2IL6YQ

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/PD2IL6YQ3BZRFN3F2ZNUPQY7K5 \
  | 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: 78f485fb10d87312b765d65b47c31f5775f824ec8d4133366209d0f7d9a922d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c114fe82b5539480fab83c9ebdf23aefb742b538995980685045e3ed3e7036",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-04-24T17:38:58Z",
    "title_canon_sha256": "8fb3445371a93c652f1d6992c57bc1eaadb65625e32ad4ab76a00ed7b8498ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3251",
    "kind": "arxiv",
    "version": 2
  }
}