Pith Number

pith:GGN5LP3B

pith:2013:GGN5LP3BDV45HMWVHYFSUQIRVG

not attested not anchored not stored refs pending

Second order limit laws for occupation times of the fractional Brownian motion

Fangjun Xu

arxiv:1310.3649 v1 · 2013-10-14 · 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{GGN5LP3BDV45HMWVHYFSUQIRVG}

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	2026-05-18T03:10:35.203138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319bd5bf611d79d3b2d53e0b2a4111a9b4f248753fe65c8c70d3106d26b766bb

Aliases

arxiv: 1310.3649 · arxiv_version: 1310.3649v1 · doi: 10.48550/arxiv.1310.3649 · pith_short_12: GGN5LP3BDV45 · pith_short_16: GGN5LP3BDV45HMWV · pith_short_8: GGN5LP3B

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/GGN5LP3BDV45HMWVHYFSUQIRVG \
  | 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: 319bd5bf611d79d3b2d53e0b2a4111a9b4f248753fe65c8c70d3106d26b766bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466ada8d2e60ea6e29b168b60cf7badc16196d7810f0d887505c1c9de19319c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-14T12:27:38Z",
    "title_canon_sha256": "9ebba1a06c72de12ede5f61db9ba01ea94d34316a854c82a97380cbc3d58dfb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3649",
    "kind": "arxiv",
    "version": 1
  }
}