Pith Number

pith:PPC7R5K7

pith:2019:PPC7R5K76WHAYJ23TSQB7BY7XI

not attested not anchored not stored refs pending

Equidistribution of critical points of the multipliers in the quadratic family

Igors Gorbovickis, Tanya Firsova

arxiv:1903.00062 v2 · 2019-02-28 · 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{PPC7R5K76WHAYJ23TSQB7BY7XI}

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	2026-05-17T23:39:39.749653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc5f8f55ff58e0c275b9ca01f871fba1b1dc22a4cc5f23501473e1d0bc3817b

Aliases

arxiv: 1903.00062 · arxiv_version: 1903.00062v2 · doi: 10.48550/arxiv.1903.00062 · pith_short_12: PPC7R5K76WHA · pith_short_16: PPC7R5K76WHAYJ23 · pith_short_8: PPC7R5K7

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/PPC7R5K76WHAYJ23TSQB7BY7XI \
  | 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: 7bc5f8f55ff58e0c275b9ca01f871fba1b1dc22a4cc5f23501473e1d0bc3817b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7777f9690cc1b6b4605ffa7c98e28a1556fed7099106f44c2d6477950f7afb1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-02-28T20:38:24Z",
    "title_canon_sha256": "f662f220de07167783b85031c928aedaf00826f6e9b2ec9ec491e6f327961d63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00062",
    "kind": "arxiv",
    "version": 2
  }
}