Pith Number

pith:XHMXY2UR

pith:2013:XHMXY2UR2U37X6HN2FUI3IGUX4

not attested not anchored not stored refs pending

Higher bifurcation currents, neutral cycles and the Mandelbrot set

Thomas Gauthier (LAMFA)

arxiv:1304.0862 v2 · 2013-04-03 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHMXY2UR2U37X6HN2FUI3IGUX4}

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	2026-05-18T03:13:55.982288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d97c6a91d537fbf8edd1688da0d4bf01ed69696def68bfb392b3dfb166ba56

Aliases

arxiv: 1304.0862 · arxiv_version: 1304.0862v2 · doi: 10.48550/arxiv.1304.0862 · pith_short_12: XHMXY2UR2U37 · pith_short_16: XHMXY2UR2U37X6HN · pith_short_8: XHMXY2UR

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/XHMXY2UR2U37X6HN2FUI3IGUX4 \
  | 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: b9d97c6a91d537fbf8edd1688da0d4bf01ed69696def68bfb392b3dfb166ba56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3992ce2c7be315ea2bcb257597fc5d960d148de15ad00e3459dd0b0eee5d37a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-03T07:55:51Z",
    "title_canon_sha256": "f82c35c7936e34f3091102b759662d1fc4bb43b614b78e03100d738206ffc3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0862",
    "kind": "arxiv",
    "version": 2
  }
}