Pith Number

pith:UPBRWSRB

pith:2011:UPBRWSRBWLAHMLWVAKP7GW4QW6

not attested not anchored not stored refs pending

Transitivity and topological mixing for C1 diffeomorphisms

Flavio Abdenur, Sylvain Crovisier

arxiv:1111.4206 v2 · 2011-11-17 · 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{UPBRWSRBWLAHMLWVAKP7GW4QW6}

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	2026-05-18T01:04:41.989513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c31b4a21b2c0762ed5029ff35b90b789b2b739053dba795bfa17b24050686a

Aliases

arxiv: 1111.4206 · arxiv_version: 1111.4206v2 · doi: 10.48550/arxiv.1111.4206 · pith_short_12: UPBRWSRBWLAH · pith_short_16: UPBRWSRBWLAHMLWV · pith_short_8: UPBRWSRB

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/UPBRWSRBWLAHMLWVAKP7GW4QW6 \
  | 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: a3c31b4a21b2c0762ed5029ff35b90b789b2b739053dba795bfa17b24050686a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f103ffb880b82eed613169bf298b82107a7577415c5e102a1308da34588d1e98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-17T20:46:45Z",
    "title_canon_sha256": "f2d8768beba451d573a521e9ec9006584b70aa6655e21cf2bf0bbe2a4fd7b255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4206",
    "kind": "arxiv",
    "version": 2
  }
}