Pith Number

pith:6JPVG6VM

pith:1996:6JPVG6VMETK6FQ36X6RNOQXMU7

not attested not anchored not stored refs pending

Dynamics of quadratic polynomials, III: Parapuzzle and SBR measures

Mikhail Lyubich

arxiv:math/9606219 v1 · 1996-06-15 · 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{6JPVG6VMETK6FQ36X6RNOQXMU7}

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	2026-05-18T01:05:47.281935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f25f537aac24d5e2c37ebfa2d742eca7e57aed181c2a7fec661bf66ba15b3bb8

Aliases

arxiv: math/9606219 · arxiv_version: math/9606219v1 · doi: 10.48550/arxiv.math/9606219 · pith_short_12: 6JPVG6VMETK6 · pith_short_16: 6JPVG6VMETK6FQ36 · pith_short_8: 6JPVG6VM

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/6JPVG6VMETK6FQ36X6RNOQXMU7 \
  | 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: f25f537aac24d5e2c37ebfa2d742eca7e57aed181c2a7fec661bf66ba15b3bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74411f9ce99121d35124f038d7457bb35b040341c62c42512c176a999d24c8b7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1996-06-15T00:00:00Z",
    "title_canon_sha256": "cbe7273a4d483fb5898e7c116d6f10e9b89d188b3623b29c2b2634432294fa07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9606219",
    "kind": "arxiv",
    "version": 1
  }
}