Pith Number

pith:DR25SINC

pith:2013:DR25SINCSCXOEW5EG6WGRTSCZI

not attested not anchored not stored refs pending

The Lyapunov exponent of holomorphic maps

Feliks Przytycki, Genadi Levin, Weixiao Shen

arxiv:1304.6178 v3 · 2013-04-23 · 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{DR25SINCSCXOEW5EG6WGRTSCZI}

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	2026-05-18T01:24:30.950640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c75d921a290aee25ba437ac68ce42ca216929e6e535dc2228733013dd2a7ec7

Aliases

arxiv: 1304.6178 · arxiv_version: 1304.6178v3 · doi: 10.48550/arxiv.1304.6178 · pith_short_12: DR25SINCSCXO · pith_short_16: DR25SINCSCXOEW5E · pith_short_8: DR25SINC

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/DR25SINCSCXOEW5EG6WGRTSCZI \
  | 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: 1c75d921a290aee25ba437ac68ce42ca216929e6e535dc2228733013dd2a7ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c75e13236c2fcd565611445984faf15be9d86ff3b474e23a7f2749ff1801be48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-23T06:29:48Z",
    "title_canon_sha256": "dc28ff0ffa3e60200d2a24618789a9c65dd5c6019af15dc605d8bac21e3e2256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6178",
    "kind": "arxiv",
    "version": 3
  }
}