Pith Number

pith:CFACFOXE

pith:2011:CFACFOXEXLCKV4M2TRRFE3E3DM

not attested not anchored not stored refs pending

An Inequality Related to Bifractional Brownian Motion

Ilya Tyurin, Mikhail Lifshits

arxiv:1105.4214 v1 · 2011-05-21 · 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{CFACFOXEXLCKV4M2TRRFE3E3DM}

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	2026-05-18T04:21:29.591362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

114022bae4bac4aaf19a9c62526c9b1b203d2723c851adea1bfca5f422373f19

Aliases

arxiv: 1105.4214 · arxiv_version: 1105.4214v1 · doi: 10.48550/arxiv.1105.4214 · pith_short_12: CFACFOXEXLCK · pith_short_16: CFACFOXEXLCKV4M2 · pith_short_8: CFACFOXE

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/CFACFOXEXLCKV4M2TRRFE3E3DM \
  | 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: 114022bae4bac4aaf19a9c62526c9b1b203d2723c851adea1bfca5f422373f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f6a0a76b3ce2f45e36fc51d98f514fb00ac99d26f919fbfba102402fa1d873e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-21T05:45:59Z",
    "title_canon_sha256": "1554595a9115845b45fe01a99eed471512f9fa8117d31fbe7efe5d17f5f7c38b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4214",
    "kind": "arxiv",
    "version": 1
  }
}