Pith Number

pith:PNHE4RJO

pith:1995:PNHE4RJOW6H5GY3I4SOUHXDWCB

not attested not anchored not stored refs pending

Dynamics of quadratic polynomials II: rigidity

Mikhail Lyubich

arxiv:math/9512229 v1 · 1995-12-01 · 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{PNHE4RJOW6H5GY3I4SOUHXDWCB}

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	2026-05-18T01:05:47.921456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4e4e452eb78fd36368e49d43dc76107eac5c1ed1ce3f757ee89f8afffd7e96

Aliases

arxiv: math/9512229 · arxiv_version: math/9512229v1 · doi: 10.48550/arxiv.math/9512229 · pith_short_12: PNHE4RJOW6H5 · pith_short_16: PNHE4RJOW6H5GY3I · pith_short_8: PNHE4RJO

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/PNHE4RJOW6H5GY3I4SOUHXDWCB \
  | 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: 7b4e4e452eb78fd36368e49d43dc76107eac5c1ed1ce3f757ee89f8afffd7e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f76f4fa5a506341cf92bf5317ec1b0690c13d5f2f289841efa978cdbacd62a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1995-12-01T00:00:00Z",
    "title_canon_sha256": "c1d390d5603aeda60e1317ad50523c14bedc906b88ad8d952b8b55979393ddaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9512229",
    "kind": "arxiv",
    "version": 1
  }
}