Pith Number

pith:Q5Q6LDPV

pith:2017:Q5Q6LDPVTUV6MN2HF2NEE2AGVT

not attested not anchored not stored refs pending

Strong Local Nondeterminism of Spherical Fractional Brownian Motion

Xiaohong Lan, Yimin Xiao

arxiv:1707.05021 v2 · 2017-07-17 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5Q6LDPVTUV6MN2HF2NEE2AGVT}

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	2026-05-18T00:30:28.001847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8761e58df59d2be637472e9a426806ace9a21bae0d5b04344e3f3fbd6d36baab

Aliases

arxiv: 1707.05021 · arxiv_version: 1707.05021v2 · doi: 10.48550/arxiv.1707.05021 · pith_short_12: Q5Q6LDPVTUV6 · pith_short_16: Q5Q6LDPVTUV6MN2H · pith_short_8: Q5Q6LDPV

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/Q5Q6LDPVTUV6MN2HF2NEE2AGVT \
  | 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: 8761e58df59d2be637472e9a426806ace9a21bae0d5b04344e3f3fbd6d36baab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18bdfd91a6024757177c3ebb22924b10ef4d50e297150a58031487a64b0b8798",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-07-17T07:13:49Z",
    "title_canon_sha256": "2312c33901fc26c6f9e379bec66ad5b0991a656d3932a9ed248f8c0801e029fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05021",
    "kind": "arxiv",
    "version": 2
  }
}