Pith Number

pith:BCY7M4Q5

pith:2009:BCY7M4Q5FKYNO5CAHZ4FSI6VKN

not attested not anchored not stored refs pending

Minimizability of developable Riemannian foliations

Hiraku Nozawa

arxiv:0909.4508 v3 · 2009-09-24 · 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{BCY7M4Q5FKYNO5CAHZ4FSI6VKN}

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	2026-05-18T04:41:25.249364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b1f6721d2ab0d774403e785923d5537ad419c71e9bb07c226b42f195ef9543

Aliases

arxiv: 0909.4508 · arxiv_version: 0909.4508v3 · doi: 10.48550/arxiv.0909.4508 · pith_short_12: BCY7M4Q5FKYN · pith_short_16: BCY7M4Q5FKYNO5CA · pith_short_8: BCY7M4Q5

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/BCY7M4Q5FKYNO5CAHZ4FSI6VKN \
  | 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: 08b1f6721d2ab0d774403e785923d5537ad419c71e9bb07c226b42f195ef9543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0738eef8b7e9787be4cc90d0b9a069cf7b8ef39a158688fc2d6d6aee10f183bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-24T17:53:20Z",
    "title_canon_sha256": "80402a6cf661252966c0424913e8b122a8fdcef66b89e5e7323671ce18a3f8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4508",
    "kind": "arxiv",
    "version": 3
  }
}