Pith Number

pith:GPXTDPQP

pith:2010:GPXTDPQPNJIIPE4NLKHG7S2QRP

not attested not anchored not stored refs pending

Non-landing hairs in Sierpinski curve Julia sets of transcendental entire maps

Antonio Garijo, Monica Moreno Rocha, Xavier Jarque

arxiv:1011.3774 v2 · 2010-11-16 · 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{GPXTDPQPNJIIPE4NLKHG7S2QRP}

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	2026-05-18T02:23:36.485619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ef31be0f6a5087938d5a8e6fcb508bfe85fd4c38a7839e3380bfca9fbd3b98

Aliases

arxiv: 1011.3774 · arxiv_version: 1011.3774v2 · doi: 10.48550/arxiv.1011.3774 · pith_short_12: GPXTDPQPNJII · pith_short_16: GPXTDPQPNJIIPE4N · pith_short_8: GPXTDPQP

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/GPXTDPQPNJIIPE4NLKHG7S2QRP \
  | 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: 33ef31be0f6a5087938d5a8e6fcb508bfe85fd4c38a7839e3380bfca9fbd3b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4b39632f88a844ed3aab8779556b58472d3886ced0585004d5f6eece86a4c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-16T18:02:36Z",
    "title_canon_sha256": "5eeeb72f6ab12b52eda4fa4d2c2f4a5a2ee722e18377d1a3cb4e81e8e59938fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3774",
    "kind": "arxiv",
    "version": 2
  }
}