Pith Number

pith:R4BN5FVD

pith:2005:R4BN5FVD4YADVLAZ6P5V7LN4ZM

not attested not anchored not stored refs pending

Regular projectively Anosov flows on three-dimensional manifolds

Masayuki Asaoka

arxiv:math/0504208 v4 · 2005-04-11 · math.DS · 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{R4BN5FVD4YADVLAZ6P5V7LN4ZM}

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	2026-05-18T04:13:46.156990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f02de96a3e6003aac19f3fb5fadbccb2fc3966848f8c37a5ec8fb6ff8ff274a

Aliases

arxiv: math/0504208 · arxiv_version: math/0504208v4 · doi: 10.48550/arxiv.math/0504208 · pith_short_12: R4BN5FVD4YAD · pith_short_16: R4BN5FVD4YADVLAZ · pith_short_8: R4BN5FVD

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/R4BN5FVD4YADVLAZ6P5V7LN4ZM \
  | 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: 8f02de96a3e6003aac19f3fb5fadbccb2fc3966848f8c37a5ec8fb6ff8ff274a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183d12b57ee69a7297c9c35d6b3a35fc908d01029f7f5041140aa5f5af5330e9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2005-04-11T05:20:18Z",
    "title_canon_sha256": "0302544654e00911a94d7a6c19c161c213f60b703895312e03e202e82d4f9ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504208",
    "kind": "arxiv",
    "version": 4
  }
}