Pith Number

pith:7U2C73YP

pith:2010:7U2C73YP2H7SZNG5ET6DBZQ5VY

not attested not anchored not stored refs pending

Lyapunov spectrum for exceptional rational maps

Feliks Przytycki, Juan Rivera-Letelier, Katrin Gelfert, Michal Rams

arxiv:1012.2593 v1 · 2010-12-12 · 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{7U2C73YP2H7SZNG5ET6DBZQ5VY}

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	2026-05-18T04:33:28.238363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd342fef0fd1ff2cb4dd24fc30e61dae0c7d414d0917dd2e121909ac78e0c623

Aliases

arxiv: 1012.2593 · arxiv_version: 1012.2593v1 · doi: 10.48550/arxiv.1012.2593 · pith_short_12: 7U2C73YP2H7S · pith_short_16: 7U2C73YP2H7SZNG5 · pith_short_8: 7U2C73YP

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/7U2C73YP2H7SZNG5ET6DBZQ5VY \
  | 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: fd342fef0fd1ff2cb4dd24fc30e61dae0c7d414d0917dd2e121909ac78e0c623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f546de2cf40d217e4fca2d3651e963865bf64bc94c3f923c7a3724092a102a32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-12T22:02:19Z",
    "title_canon_sha256": "09d3d08d10e6a0db93903c9dc482ada875c7eb7d1879e8a2debfdaa80b4e6152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2593",
    "kind": "arxiv",
    "version": 1
  }
}