Pith Number

pith:THW756JZ

pith:2011:THW756JZH3YN73IJAUUGDREIZP

not attested not anchored not stored refs pending

Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows

Amie Wilkinson, Artur Avila, Marcelo Viana

arxiv:1110.2365 v2 · 2011-10-11 · 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{THW756JZH3YN73IJAUUGDREIZP}

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	2026-05-18T04:10:58.307683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99edfef9393ef0dfed09052861c488cbfaf2bcd4dff961a2fb9fb802eaffaa16

Aliases

arxiv: 1110.2365 · arxiv_version: 1110.2365v2 · doi: 10.48550/arxiv.1110.2365 · pith_short_12: THW756JZH3YN · pith_short_16: THW756JZH3YN73IJ · pith_short_8: THW756JZ

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/THW756JZH3YN73IJAUUGDREIZP \
  | 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: 99edfef9393ef0dfed09052861c488cbfaf2bcd4dff961a2fb9fb802eaffaa16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed23b08d3c50be82c21c1ed5c78af77b615229d0e73586f3845e2b14e521722",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-11T13:19:14Z",
    "title_canon_sha256": "ca9d05f2fa69dce84e95ad09822ce3723650a911b2d5b9661830914381672fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2365",
    "kind": "arxiv",
    "version": 2
  }
}