Pith Number

pith:A2J3KTAU

pith:2013:A2J3KTAUTXMBWM5QMO35PUCVCT

not attested not anchored not stored refs pending

Center Lyapunov exponents in partially hyperbolic dynamics

Ali Tahzibi, Andrey Gogolev

arxiv:1310.1985 v2 · 2013-10-08 · 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{A2J3KTAUTXMBWM5QMO35PUCVCT}

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	2026-05-18T02:46:21.808041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0693b54c149dd81b33b063b7d7d05514c1ea89e398d1b93efdb173fb61bcf5ca

Aliases

arxiv: 1310.1985 · arxiv_version: 1310.1985v2 · doi: 10.48550/arxiv.1310.1985 · pith_short_12: A2J3KTAUTXMB · pith_short_16: A2J3KTAUTXMBWM5Q · pith_short_8: A2J3KTAU

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/A2J3KTAUTXMBWM5QMO35PUCVCT \
  | 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: 0693b54c149dd81b33b063b7d7d05514c1ea89e398d1b93efdb173fb61bcf5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4f6707813986ab1b5ef103b2a8b2223505eb612113d223aa75b6400010074b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-08T01:59:55Z",
    "title_canon_sha256": "6ac2a7a5cf88ba7e5a61232064930db93e8e29382ee68f93802db8738b90cd65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1985",
    "kind": "arxiv",
    "version": 2
  }
}