Pith Number

pith:OBGAECPU

pith:2014:OBGAECPUB6NQK2HPAGEY27ZENC

not attested not anchored not stored refs pending

Diffeomorphisms with positive metric entropy

Amie Wilkinson, Artur Avila, Sylvain Crovisier

arxiv:1408.4252 v5 · 2014-08-19 · 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{OBGAECPUB6NQK2HPAGEY27ZENC}

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	2026-05-18T00:34:58.230261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

704c0209f40f9b0568ef01898d7f2468ab10da6190db2051c81afa86ffd3ccc5

Aliases

arxiv: 1408.4252 · arxiv_version: 1408.4252v5 · doi: 10.48550/arxiv.1408.4252 · pith_short_12: OBGAECPUB6NQ · pith_short_16: OBGAECPUB6NQK2HP · pith_short_8: OBGAECPU

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/OBGAECPUB6NQK2HPAGEY27ZENC \
  | 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: 704c0209f40f9b0568ef01898d7f2468ab10da6190db2051c81afa86ffd3ccc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d394c825e8eb69e91ec71e5e99fed0b9ba5d65fdae2d0733b9079630c6dd587f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-19T08:46:57Z",
    "title_canon_sha256": "304c6c43bbc10748a47c093bc7bb3cefdde053b78f7201c573cbc44a96283e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4252",
    "kind": "arxiv",
    "version": 5
  }
}