Pith Number

pith:3C7TTRVS

pith:2011:3C7TTRVSRS54OVIOKUJNTI4ZIP

not attested not anchored not stored refs pending

Local Theory of Holomorphic Foliations and Vector Fields

Helena Reis, Julio C. Rebelo

arxiv:1101.4309 v1 · 2011-01-22 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3C7TTRVSRS54OVIOKUJNTI4ZIP}

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	2026-05-18T02:22:50.455723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8bf39c6b28cbbc7550e5512d9a39943ec702bf1e1b8c2ed3b914d719dc0fd67

Aliases

arxiv: 1101.4309 · arxiv_version: 1101.4309v1 · doi: 10.48550/arxiv.1101.4309 · pith_short_12: 3C7TTRVSRS54 · pith_short_16: 3C7TTRVSRS54OVIO · pith_short_8: 3C7TTRVS

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/3C7TTRVSRS54OVIOKUJNTI4ZIP \
  | 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: d8bf39c6b28cbbc7550e5512d9a39943ec702bf1e1b8c2ed3b914d719dc0fd67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e677b288fff06035f45bebc36e336fbbce7bbd1284d34c80eaf5d1ebc70a1157",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-22T19:05:08Z",
    "title_canon_sha256": "99e19c2e052b7078857a0e6f7a5cc72af8fb17b41df1315a8dcd0465ef4a4097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4309",
    "kind": "arxiv",
    "version": 1
  }
}