Pith Number

pith:HXJTG53P

pith:2006:HXJTG53PXZFSJV5SMQVRTSQLR2

not attested not anchored not stored refs pending

An extension of the L\'{e}vy characterization to fractional Brownian motion

Esko Valkeila, Yuliya Mishura

arxiv:math/0611913 v4 · 2006-11-29 · 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{HXJTG53PXZFSJV5SMQVRTSQLR2}

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	2026-05-18T04:26:54.247854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd333776fbe4b24d7b2642b19ca0b8e890b7c09f9893b499aeab45dc012fae1

Aliases

arxiv: math/0611913 · arxiv_version: math/0611913v4 · doi: 10.48550/arxiv.math/0611913 · pith_short_12: HXJTG53PXZFS · pith_short_16: HXJTG53PXZFSJV5S · pith_short_8: HXJTG53P

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/HXJTG53PXZFSJV5SMQVRTSQLR2 \
  | 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: 3dd333776fbe4b24d7b2642b19ca0b8e890b7c09f9893b499aeab45dc012fae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0d1dca3b167717cba63aa57ea6c24aa5c055b0bdb410998ed28ef3fbfc34ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2006-11-29T11:45:20Z",
    "title_canon_sha256": "6d91273103ab02a2f2bdfc3a5e72a4e190d1832ab212bcb3e644ae90af18355a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611913",
    "kind": "arxiv",
    "version": 4
  }
}