Pith Number

pith:FQXCS3OT

pith:2012:FQXCS3OTY52I2FMQQ6EZSDB4NC

not attested not anchored not stored refs pending

Analytic skew products of quadratic polynomials over circle expanding maps

Weixiao Shen, Wen Huang

arxiv:1209.2570 v3 · 2012-09-12 · 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{FQXCS3OTY52I2FMQQ6EZSDB4NC}

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	2026-05-18T01:54:30.031009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c2e296dd3c7748d15908789990c3c6888aeb1f0fca184382e8f69a172ef9ff2

Aliases

arxiv: 1209.2570 · arxiv_version: 1209.2570v3 · doi: 10.48550/arxiv.1209.2570 · pith_short_12: FQXCS3OTY52I · pith_short_16: FQXCS3OTY52I2FMQ · pith_short_8: FQXCS3OT

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/FQXCS3OTY52I2FMQQ6EZSDB4NC \
  | 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: 2c2e296dd3c7748d15908789990c3c6888aeb1f0fca184382e8f69a172ef9ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0b20ce2f67257c16a4032b2c6aa92f96b416990032283ddbbf10625205142e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-12T11:30:25Z",
    "title_canon_sha256": "cda7b07d8cf07b33cadad869df15e88137bf5270a2b0f88ae94b9e7cd9dc8f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2570",
    "kind": "arxiv",
    "version": 3
  }
}