Pith Number

pith:UU6BA6XP

pith:2008:UU6BA6XPNX372QGKV5CQGOCUEW

not attested not anchored not stored refs pending

Invariant measures for interval maps with critical points and singularities

Marcelo Viana, Stefano Luzzatto, Vitor Araujo

arxiv:0805.2099 v3 · 2008-05-14 · 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{UU6BA6XPNX372QGKV5CQGOCUEW}

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	2026-05-18T04:41:53.983960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a53c107aef6df7fd40caaf4503385425b93db3e54217af4e87d72436fbb95a13

Aliases

arxiv: 0805.2099 · arxiv_version: 0805.2099v3 · doi: 10.48550/arxiv.0805.2099 · pith_short_12: UU6BA6XPNX37 · pith_short_16: UU6BA6XPNX372QGK · pith_short_8: UU6BA6XP

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/UU6BA6XPNX372QGKV5CQGOCUEW \
  | 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: a53c107aef6df7fd40caaf4503385425b93db3e54217af4e87d72436fbb95a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a21d9ccbb13563a33e13625af4f030599b7beb16f1ea1e06fec1c812bfa087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-05-14T16:04:40Z",
    "title_canon_sha256": "43b9e668e469c6692a4c6273f36bc4282298eeee6badce596ced5beb19c2dcd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.2099",
    "kind": "arxiv",
    "version": 3
  }
}