Pith Number

pith:5SVO4DOY

pith:2011:5SVO4DOYR6W342WX764ZGZHVNH

not attested not anchored not stored refs pending

Non-Autonomous Julia Sets with Invariant Sequences of Measurable Line Fields

Mark Comerford

arxiv:1105.3225 v2 · 2011-05-16 · 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{5SVO4DOYR6W342WX764ZGZHVNH}

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	2026-05-18T04:21:29.682623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecaaee0dd88fadbe6ad7ffb99364f569decdfa1ee492f35e36a35b2e8446606d

Aliases

arxiv: 1105.3225 · arxiv_version: 1105.3225v2 · doi: 10.48550/arxiv.1105.3225 · pith_short_12: 5SVO4DOYR6W3 · pith_short_16: 5SVO4DOYR6W342WX · pith_short_8: 5SVO4DOY

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/5SVO4DOYR6W342WX764ZGZHVNH \
  | 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: ecaaee0dd88fadbe6ad7ffb99364f569decdfa1ee492f35e36a35b2e8446606d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f54eae92b9c3932cd94eb42ba2f2aafd35e0cd832d001d4d74994f8d9097975",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-16T21:22:18Z",
    "title_canon_sha256": "0660bad334dc913bda048fd7d776a2fd64ddc1aee081e8e69e04342ce429719d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3225",
    "kind": "arxiv",
    "version": 2
  }
}