Pith Number

pith:3VZEAZFE

pith:1995:3VZEAZFETE4HWGASMQAM4U2BTR

not attested not anchored not stored refs pending

Commuting polynomials and polynomials with same Julia set

Jun Hu, Pau Atela

arxiv:math/9504210 v1 · 1995-04-26 · 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{3VZEAZFETE4HWGASMQAM4U2BTR}

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	2026-05-18T01:38:23.038216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd724064a499387b18126400ce53419c6b6f45d00cd2f66164036d9d8c438830

Aliases

arxiv: math/9504210 · arxiv_version: math/9504210v1 · doi: 10.48550/arxiv.math/9504210 · pith_short_12: 3VZEAZFETE4H · pith_short_16: 3VZEAZFETE4HWGAS · pith_short_8: 3VZEAZFE

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/3VZEAZFETE4HWGASMQAM4U2BTR \
  | 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: dd724064a499387b18126400ce53419c6b6f45d00cd2f66164036d9d8c438830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e17b43ac4b6988f514e53e839833445615edb418f1db3d8bceb132ab7579ad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1995-04-26T00:00:00Z",
    "title_canon_sha256": "7acf05dcf7ccd06e287322e2dd948d615f62bf0ba20e3a5f091f38810b2e5dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9504210",
    "kind": "arxiv",
    "version": 1
  }
}