Pith Number

pith:UABHXRJ5

pith:2015:UABHXRJ5HEVK3HFFTIU6KDGLP2

not attested not anchored not stored refs pending

Bifractional Brownian motion: existence and border cases

Ksenia Volkova, Mikhail Lifshits

arxiv:1502.02217 v3 · 2015-02-08 · 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{UABHXRJ5HEVK3HFFTIU6KDGLP2}

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	2026-05-17T23:41:37.674894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0027bc53d392aad9ca59a29e50ccb7e91d5198a87489bb1cdd26cf325fc2eae

Aliases

arxiv: 1502.02217 · arxiv_version: 1502.02217v3 · doi: 10.48550/arxiv.1502.02217 · pith_short_12: UABHXRJ5HEVK · pith_short_16: UABHXRJ5HEVK3HFF · pith_short_8: UABHXRJ5

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/UABHXRJ5HEVK3HFFTIU6KDGLP2 \
  | 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: a0027bc53d392aad9ca59a29e50ccb7e91d5198a87489bb1cdd26cf325fc2eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f955b7c4f1729894cb8e24ec4e1aede9faaa4933cf6901ed6b736ba8f89d20a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-08T06:25:42Z",
    "title_canon_sha256": "d5ece536c882488bd7cea4e8409af2278cca092f05ce82a1e08f2ba8d74ee540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02217",
    "kind": "arxiv",
    "version": 3
  }
}