Pith Number

pith:MAXNDGC4

pith:2012:MAXNDGC4GBBQ6ADI3YIU6TILIB

not attested not anchored not stored refs pending

The Bouleau-Yor identity for a bi-fractional Brownian motion

Bo Gao, Junfeng Liu, Litan Yan

arxiv:1212.6347 v1 · 2012-12-27 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAXNDGC4GBBQ6ADI3YIU6TILIB}

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	2026-05-18T01:52:23.179988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

602ed1985c30430f0068de114f4d0b4062a4d73e47a1e4784283fbde38d0cf02

Aliases

arxiv: 1212.6347 · arxiv_version: 1212.6347v1 · doi: 10.48550/arxiv.1212.6347 · pith_short_12: MAXNDGC4GBBQ · pith_short_16: MAXNDGC4GBBQ6ADI · pith_short_8: MAXNDGC4

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/MAXNDGC4GBBQ6ADI3YIU6TILIB \
  | 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: 602ed1985c30430f0068de114f4d0b4062a4d73e47a1e4784283fbde38d0cf02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b06033d76c31a5bde6268030f5f49e62457856d357f4f9be8a45ebb8f773783a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-27T11:16:03Z",
    "title_canon_sha256": "eaaa008f68cd14b2e6445162599d60835f91f4f28b01373e2b976b8c966ae212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6347",
    "kind": "arxiv",
    "version": 1
  }
}