Pith Number

pith:Z4IDE7W3

pith:2023:Z4IDE7W3DJ2ZTM3H6POBXS75BV

not attested not anchored not stored refs pending

Local times of deterministic paths and self-similar processes with stationary increments as normalized numbers of interval crossings

Purba Das, Rafa{\l} {\L}ochowski, Witold Bednorz

arxiv:2312.05570 v2 · 2023-12-09 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4IDE7W3DJ2ZTM3H6POBXS75BV}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T08:40:57.580035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf10327edb1a7599b367f3dc1bcbfd0d5857471b15790e4fbe7407d5ff3ebf13

Aliases

arxiv: 2312.05570 · arxiv_version: 2312.05570v2 · doi: 10.48550/arxiv.2312.05570 · pith_short_12: Z4IDE7W3DJ2Z · pith_short_16: Z4IDE7W3DJ2ZTM3H · pith_short_8: Z4IDE7W3

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/Z4IDE7W3DJ2ZTM3H6POBXS75BV \
  | 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: cf10327edb1a7599b367f3dc1bcbfd0d5857471b15790e4fbe7407d5ff3ebf13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a65e391bdfc269441b32e3a42de24d6eeae180a945e716f2c3db658998f9c04",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-09T13:12:29Z",
    "title_canon_sha256": "7a58083b8c84af86f9e963210771debf28838634acd263523325cae9a67c88b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.05570",
    "kind": "arxiv",
    "version": 2
  }
}