Pith Number

pith:EMUQHHV2

pith:2024:EMUQHHV2SYZ4GRGP5JEF7XSTNS

not attested not anchored not stored refs pending

Julia sets and bifurcation loci

Gabriel Vigny, Thomas Gauthier

arxiv:2411.16178 v1 · 2024-11-25 · 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{EMUQHHV2SYZ4GRGP5JEF7XSTNS}

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	2026-07-05T09:40:05.518458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2329039eba9633c344cfea485fde536c86a39069885a7221f3d33ff8508da57f

Aliases

arxiv: 2411.16178 · arxiv_version: 2411.16178v1 · doi: 10.48550/arxiv.2411.16178 · pith_short_12: EMUQHHV2SYZ4 · pith_short_16: EMUQHHV2SYZ4GRGP · pith_short_8: EMUQHHV2

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/EMUQHHV2SYZ4GRGP5JEF7XSTNS \
  | 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: 2329039eba9633c344cfea485fde536c86a39069885a7221f3d33ff8508da57f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2dfa7d46bcf66e2a0bf6ade69b757ab85559ad3938613af86c78efec4c4f38",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-11-25T08:18:09Z",
    "title_canon_sha256": "df93a6263279345786a708425fb1540a2a8815d15ba96c971394b59bfd1c01fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16178",
    "kind": "arxiv",
    "version": 1
  }
}