Pith Number

pith:JGNJSGYG

pith:2007:JGNJSGYGH6LD2Z6A6WRVEMSSGO

not attested not anchored not stored refs pending

Linear response formula for piecewise expanding unimodal maps

D. Smania, V. Baladi

arxiv:0705.3383 v3 · 2007-05-23 · 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{JGNJSGYGH6LD2Z6A6WRVEMSSGO}

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	2026-05-18T03:55:00.780283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

499a991b063f963d67c0f5a352325233aa3cad48afba017d3106e44f7748f2a1

Aliases

arxiv: 0705.3383 · arxiv_version: 0705.3383v3 · doi: 10.48550/arxiv.0705.3383 · pith_short_12: JGNJSGYGH6LD · pith_short_16: JGNJSGYGH6LD2Z6A · pith_short_8: JGNJSGYG

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/JGNJSGYGH6LD2Z6A6WRVEMSSGO \
  | 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: 499a991b063f963d67c0f5a352325233aa3cad48afba017d3106e44f7748f2a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a77e1c16c6ed3c2f7dade07f814851425ce0b0a2c97605e881ca9a673762f93",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-05-23T14:03:57Z",
    "title_canon_sha256": "eff7506e8495a3df4e1648711e361ab9edcfb44695fe0058a7bdd279dccdcca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3383",
    "kind": "arxiv",
    "version": 3
  }
}