Pith Number

pith:BC2MVSZK

pith:2012:BC2MVSZK7L44J5VWON2Y32OEPL

not attested not anchored not stored refs pending

Approximation to multifractional Riemann-Liouville Brownian sheet

Hongshuai Dai

arxiv:1212.1818 v2 · 2012-12-08 · 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{BC2MVSZK7L44J5VWON2Y32OEPL}

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	2026-05-18T02:25:05.388672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b4cacb2afaf9c4f6b673758de9c47ad4a19bdaacf8c20a34b83ac3e641c52f

Aliases

arxiv: 1212.1818 · arxiv_version: 1212.1818v2 · doi: 10.48550/arxiv.1212.1818 · pith_short_12: BC2MVSZK7L44 · pith_short_16: BC2MVSZK7L44J5VW · pith_short_8: BC2MVSZK

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/BC2MVSZK7L44J5VWON2Y32OEPL \
  | 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: 08b4cacb2afaf9c4f6b673758de9c47ad4a19bdaacf8c20a34b83ac3e641c52f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c77744bcd358bd423f406cfdddc3f62a821bd39921cf8cd6add4393cd11e07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-08T17:27:37Z",
    "title_canon_sha256": "a42334208bf738b77afc9bf1ed40f025520bda78026ed97793c9e2de2e6c71e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1818",
    "kind": "arxiv",
    "version": 2
  }
}