Pith Number

pith:NDZWPH7R

pith:2003:NDZWPH7RX6P3FHLSRL2NPHAEYA

not attested not anchored not stored refs pending

Classification of regular and non-degenerate projectively Anosov flows on three dimensional manifolds

Masayuki Asaoka

arxiv:math/0305372 v2 · 2003-05-27 · 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{NDZWPH7RX6P3FHLSRL2NPHAEYA}

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	2026-05-18T04:13:46.163797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f3679ff1bf9fb29d728af4d79c04c0323ee2b92ffae7774c84a3754ab74ef0

Aliases

arxiv: math/0305372 · arxiv_version: math/0305372v2 · doi: 10.48550/arxiv.math/0305372 · pith_short_12: NDZWPH7RX6P3 · pith_short_16: NDZWPH7RX6P3FHLS · pith_short_8: NDZWPH7R

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/NDZWPH7RX6P3FHLSRL2NPHAEYA \
  | 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: 68f3679ff1bf9fb29d728af4d79c04c0323ee2b92ffae7774c84a3754ab74ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95eec3b80e1766a7a1ae445eee30e0bd392b0eac75878c6ac9fe939f4a0337c9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-05-27T02:18:25Z",
    "title_canon_sha256": "13c00a7c1c261d686ae83f6e975d722780eb9053a972d68102edcab2cf6bd133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305372",
    "kind": "arxiv",
    "version": 2
  }
}