Pith Number

pith:GTKFZDE6

pith:2009:GTKFZDE6OIPMQTATSZOHUZWSHV

not attested not anchored not stored refs pending

Dynamics of riemannian 1-foliations on $3$-manifolds

Hahng-Yun Chu, Jaeyoo Choy

arxiv:0903.4546 v4 · 2009-03-26 · math.DS · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTKFZDE6OIPMQTATSZOHUZWSHV}

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	2026-05-18T00:12:36.093802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d45c8c9e721ec84c13965c7a66d23d54a37a5a972de12bbe4780baa6aa846d

Aliases

arxiv: 0903.4546 · arxiv_version: 0903.4546v4 · doi: 10.48550/arxiv.0903.4546 · pith_short_12: GTKFZDE6OIPM · pith_short_16: GTKFZDE6OIPMQTAT · pith_short_8: GTKFZDE6

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/GTKFZDE6OIPMQTATSZOHUZWSHV \
  | 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: 34d45c8c9e721ec84c13965c7a66d23d54a37a5a972de12bbe4780baa6aa846d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c98104aa7fb080adf9a9f60eee1cef0311b90e033f747a40cde1dbcbe348a789",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-03-26T11:12:58Z",
    "title_canon_sha256": "a9fbafa55889714e5b41f450b5821516c9fa98f9f4c2bf2b91458cc92a67eb65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4546",
    "kind": "arxiv",
    "version": 4
  }
}