Pith Number

pith:PWQHCCGY

pith:2008:PWQHCCGYP7LDID3HZERI5INA7D

not attested not anchored not stored refs pending

Large deviation principles for non-uniformly hyperbolic rational maps

Henri Comman, Juan Rivera-Letelier

arxiv:0812.4761 v2 · 2008-12-27 · math.DS · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWQHCCGYP7LDID3HZERI5INA7D}

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	2026-05-18T01:25:24.978872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da07108d87fd6340f67c9228ea1a0f8ffc9bbc9bdeae9502881c54ed31ba60d

Aliases

arxiv: 0812.4761 · arxiv_version: 0812.4761v2 · doi: 10.48550/arxiv.0812.4761 · pith_short_12: PWQHCCGYP7LD · pith_short_16: PWQHCCGYP7LDID3H · pith_short_8: PWQHCCGY

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/PWQHCCGYP7LDID3HZERI5INA7D \
  | 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: 7da07108d87fd6340f67c9228ea1a0f8ffc9bbc9bdeae9502881c54ed31ba60d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a224d66a808377bef17d85250990d4ef2c7e71d1ba3baa639d311d963d74e0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-12-27T18:12:52Z",
    "title_canon_sha256": "f94093903b5991047768c2b9b27fa779873c7b8a1a418d705c4694482dcd9079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4761",
    "kind": "arxiv",
    "version": 2
  }
}