Pith Number

pith:YZGDEGCH

pith:2005:YZGDEGCH7WTTHWZGEQC3WONQVZ

not attested not anchored not stored refs pending

Parabolic Julia Sets are Polynomial Time Computable

Mark Braverman

arxiv:math/0505036 v2 · 2005-05-03 · math.DS · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZGDEGCH7WTTHWZGEQC3WONQVZ}

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	2026-06-03T22:06:16.871845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c64c321847fda733db262405bb39b0ae717da7e439cfa757573ac6ce2d6c7a36

Aliases

arxiv: math/0505036 · arxiv_version: math/0505036v2 · doi: 10.48550/arxiv.math/0505036 · pith_short_12: YZGDEGCH7WTT · pith_short_16: YZGDEGCH7WTTHWZG · pith_short_8: YZGDEGCH

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/YZGDEGCH7WTTHWZGEQC3WONQVZ \
  | 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: c64c321847fda733db262405bb39b0ae717da7e439cfa757573ac6ce2d6c7a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c01080b594b0e4b79f3f9b6e1ac6bfca6ee4ba125d2fcbc0e79d9a4ec93cdf",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-05-03T19:21:26Z",
    "title_canon_sha256": "d29957c87ac4453f656cef9dc5a612a5e988b72fe7805bdb85d669c05ccb5948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505036",
    "kind": "arxiv",
    "version": 2
  }
}