Pith Number

pith:QBJQITHQ

pith:2005:QBJQITHQWFKGVKOZOL4JHOHUGU

not attested not anchored not stored refs pending

Proofs of Conjectures about singular riemannian foliations

Marcos M. Alexandrino

arxiv:math/0509405 v1 · 2005-09-18 · math.DG · 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{QBJQITHQWFKGVKOZOL4JHOHUGU}

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	2026-05-18T04:19:41.449376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8053044cf0b1546aa9d972f893b8f43500304a184dcd50369c6afcbaf80a5997

Aliases

arxiv: math/0509405 · arxiv_version: math/0509405v1 · doi: 10.48550/arxiv.math/0509405 · pith_short_12: QBJQITHQWFKG · pith_short_16: QBJQITHQWFKGVKOZ · pith_short_8: QBJQITHQ

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/QBJQITHQWFKGVKOZOL4JHOHUGU \
  | 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: 8053044cf0b1546aa9d972f893b8f43500304a184dcd50369c6afcbaf80a5997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8d04fa210f05bbfa88300b5f8199a518a39e191b03f9f27893de2e5f0c5199",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-09-18T18:21:55Z",
    "title_canon_sha256": "9cc78433d11a6bc082bacbdd011d34ad07bbac67405369389b83e085a0d937aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509405",
    "kind": "arxiv",
    "version": 1
  }
}