Pith Number

pith:RSAUVUZK

pith:2010:RSAUVUZKWPIXXLS7MZXQ3P4A2D

not attested not anchored not stored refs pending

Fatou directions along the Julia set for endomorphisms of CP^k

Romain Dujardin

arxiv:1006.0882 v2 · 2010-06-04 · 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{RSAUVUZKWPIXXLS7MZXQ3P4A2D}

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	2026-05-18T03:59:14.083808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c814ad32ab3d17bae5f666f0dbf80d0eaac413a25b1040cb443ed9d2ba4def3

Aliases

arxiv: 1006.0882 · arxiv_version: 1006.0882v2 · doi: 10.48550/arxiv.1006.0882 · pith_short_12: RSAUVUZKWPIX · pith_short_16: RSAUVUZKWPIXXLS7 · pith_short_8: RSAUVUZK

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/RSAUVUZKWPIXXLS7MZXQ3P4A2D \
  | 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: 8c814ad32ab3d17bae5f666f0dbf80d0eaac413a25b1040cb443ed9d2ba4def3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec862c55ab13a9284c1502c5f13084e39ac1dfc9974077aa78cf4d077a0f412c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-06-04T12:46:48Z",
    "title_canon_sha256": "5640fe170ac92984d57e0cc513777361d27017cfefc0838a5ef4e59fa0c36429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0882",
    "kind": "arxiv",
    "version": 2
  }
}