Pith Number

pith:JNM67H5J

pith:2011:JNM67H5JGVGJY2QZKFKAM2REQX

not attested not anchored not stored refs pending

Perturbations of weakly expanding critical orbits

Genadi Levin

arxiv:1111.6270 v2 · 2011-11-27 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNM67H5JGVGJY2QZKFKAM2REQX}

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	2026-05-18T03:13:22.041983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b59ef9fa9354c9c6a195154066a2485f26a02f4b448bc8180c7844c027afb39

Aliases

arxiv: 1111.6270 · arxiv_version: 1111.6270v2 · doi: 10.48550/arxiv.1111.6270 · pith_short_12: JNM67H5JGVGJ · pith_short_16: JNM67H5JGVGJY2QZ · pith_short_8: JNM67H5J

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/JNM67H5JGVGJY2QZKFKAM2REQX \
  | 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: 4b59ef9fa9354c9c6a195154066a2485f26a02f4b448bc8180c7844c027afb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c52075cb6bd93af744a39dc024bc58dae4c8ea65b1323cbb38164ab3716a7b8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-27T16:11:15Z",
    "title_canon_sha256": "3463a2a3a9bdece9cecba9586a3828d84d652487d3e5e206b29c0317f9fe3ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6270",
    "kind": "arxiv",
    "version": 2
  }
}