Pith Number

pith:6HSNN4BI

pith:2010:6HSNN4BIPHF6FHIJCA7QQOJFIU

not attested not anchored not stored refs pending

A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities

Gianluigi Del Magno, Roberto Markarian

arxiv:1010.1229 v2 · 2010-10-06 · 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{6HSNN4BIPHF6FHIJCA7QQOJFIU}

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	2026-05-18T04:00:27.032558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e4d6f02879cbe29d09103f0839254520512a7145d60b95742c2fea9bf1dc62

Aliases

arxiv: 1010.1229 · arxiv_version: 1010.1229v2 · doi: 10.48550/arxiv.1010.1229 · pith_short_12: 6HSNN4BIPHF6 · pith_short_16: 6HSNN4BIPHF6FHIJ · pith_short_8: 6HSNN4BI

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/6HSNN4BIPHF6FHIJCA7QQOJFIU \
  | 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: f1e4d6f02879cbe29d09103f0839254520512a7145d60b95742c2fea9bf1dc62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11afddb041fd88de8fffe7cd9b0531795f8ad6b1d96fed047c64980350a1f3fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-06T18:49:37Z",
    "title_canon_sha256": "0800581dc07773367ee7f1ce0a3b51becd17e21d75ed25a544aff8b73ed84a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1229",
    "kind": "arxiv",
    "version": 2
  }
}