Pith Number

pith:NKCO3P6O

pith:2011:NKCO3P6OGMBFIH52EXA7AANVQN

not attested not anchored not stored refs pending

Statistical Properties and Decay of Correlations for Interval Maps with Critical Points and Singularities

Ian Melbourne, Stefano Luzzatto

arxiv:1108.5948 v3 · 2011-08-30 · 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{NKCO3P6OGMBFIH52EXA7AANVQN}

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	2026-05-18T02:00:44.677342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a84edbfce3302541fba25c1f001b5836f81c7b88c4b8b1f486d0f5e4575d6a8

Aliases

arxiv: 1108.5948 · arxiv_version: 1108.5948v3 · doi: 10.48550/arxiv.1108.5948 · pith_short_12: NKCO3P6OGMBF · pith_short_16: NKCO3P6OGMBFIH52 · pith_short_8: NKCO3P6O

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/NKCO3P6OGMBFIH52EXA7AANVQN \
  | 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: 6a84edbfce3302541fba25c1f001b5836f81c7b88c4b8b1f486d0f5e4575d6a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e129a00d812072d2ade9ea8c7c8f604151d8ff550da181e4542adc2b46868c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-30T12:53:44Z",
    "title_canon_sha256": "d71694c4412d8ff60a47c25fc2e7bca7bf1e6595f4050e426222bbc7898e6cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5948",
    "kind": "arxiv",
    "version": 3
  }
}