Pith Number

pith:AN6Z4ZDW

pith:2008:AN6Z4ZDWQAL3JJH2ZIVWX7YBX5

not attested not anchored not stored refs pending

Rigidity of the \'Alvarez classes of Riemannian foliations with nilpotent structure Lie algebras

Hiraku Nozawa

arxiv:0809.4705 v2 · 2008-09-26 · 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{AN6Z4ZDWQAL3JJH2ZIVWX7YBX5}

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	2026-05-18T04:11:32.044161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037d9e64768017b4a4faca2b6bff01bf73b717ab9d2acb204c69e90b7a5801e9

Aliases

arxiv: 0809.4705 · arxiv_version: 0809.4705v2 · doi: 10.48550/arxiv.0809.4705 · pith_short_12: AN6Z4ZDWQAL3 · pith_short_16: AN6Z4ZDWQAL3JJH2 · pith_short_8: AN6Z4ZDW

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/AN6Z4ZDWQAL3JJH2ZIVWX7YBX5 \
  | 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: 037d9e64768017b4a4faca2b6bff01bf73b717ab9d2acb204c69e90b7a5801e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0d566e3393762bb02173d44ebfcfbebead0a124aad3c0f7e50b3ac9bee7818",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-09-26T20:38:02Z",
    "title_canon_sha256": "c1554a52e5d7a26e062dd3bdca4046cd52945f246060680ae7f06994a6d084a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4705",
    "kind": "arxiv",
    "version": 2
  }
}