Pith Number

pith:QNCFIAS6

pith:2025:QNCFIAS6MXKVU3NET3TVI6SY7N

not attested not anchored not stored refs pending

Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)

Darlington Hove, Farai J. Mhlanga, Phumlani L. Zondi, Rafa{\l} M. {\L}ochowski

arxiv:2501.07966 v3 · 2025-01-14 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNCFIAS6MXKVU3NET3TVI6SY7N}

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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	2026-07-05T10:30:03.567227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

834454025e65d55a6da49ee7547a58fb62fc37398e626353c1a63ebe149fc5db

Aliases

arxiv: 2501.07966 · arxiv_version: 2501.07966v3 · doi: 10.48550/arxiv.2501.07966 · pith_short_12: QNCFIAS6MXKV · pith_short_16: QNCFIAS6MXKVU3NE · pith_short_8: QNCFIAS6

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/QNCFIAS6MXKVU3NET3TVI6SY7N \
  | 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: 834454025e65d55a6da49ee7547a58fb62fc37398e626353c1a63ebe149fc5db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628a1b553cbf9bbdfb049a8bc535d1b768e9f253de68dce5871e32d00e0ffca0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-01-14T09:36:10Z",
    "title_canon_sha256": "d73626116a8cf5993d145b5d8485320705bfef078b0d1bff310c3dd9629e5407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07966",
    "kind": "arxiv",
    "version": 3
  }
}