Pith Number

pith:FKBADHXU

pith:2011:FKBADHXUZDR52FQDGDHCAAVF5H

not attested not anchored not stored refs pending

A C1 generic condition for existence of symbolic extensions of volume preserving diffeomorphisms

Thiago Catalan

arxiv:1109.3080 v2 · 2011-09-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKBADHXUZDR52FQDGDHCAAVF5H}

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	2026-05-18T02:00:33.024453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a82019ef4c8e3dd160330ce2002a5e9e8178edfc5fb5b3c351c202f83a00f84

Aliases

arxiv: 1109.3080 · arxiv_version: 1109.3080v2 · doi: 10.48550/arxiv.1109.3080 · pith_short_12: FKBADHXUZDR5 · pith_short_16: FKBADHXUZDR52FQD · pith_short_8: FKBADHXU

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/FKBADHXUZDR52FQDGDHCAAVF5H \
  | 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: 2a82019ef4c8e3dd160330ce2002a5e9e8178edfc5fb5b3c351c202f83a00f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc1bdad6670b5f1c42ea315d591d7281237ebc1e5acdd0253a36faa65d409f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-14T13:51:49Z",
    "title_canon_sha256": "46ae56ce4bb9c09564ea50d82b6ec63ca63626e987d120712558e135627aac7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3080",
    "kind": "arxiv",
    "version": 2
  }
}