Pith Number

pith:MEKCT37M

pith:2013:MEKCT37MTL6R3KEVNXLGYGDGZF

not attested not anchored not stored refs pending

Pathwise integrals and Ito-Tanaka Formula for Gaussian processes

Lauri Viitasaari, Tommi Sottinen

arxiv:1307.3578 v5 · 2013-07-12 · 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{MEKCT37MTL6R3KEVNXLGYGDGZF}

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	2026-05-18T02:32:12.299218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

611429efec9afd1da8956dd66c1866c96499d088a805685678038514deea22b7

Aliases

arxiv: 1307.3578 · arxiv_version: 1307.3578v5 · doi: 10.48550/arxiv.1307.3578 · pith_short_12: MEKCT37MTL6R · pith_short_16: MEKCT37MTL6R3KEV · pith_short_8: MEKCT37M

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/MEKCT37MTL6R3KEVNXLGYGDGZF \
  | 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: 611429efec9afd1da8956dd66c1866c96499d088a805685678038514deea22b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c8017eec629dd41e202419173d11f0576daddf08f23f9df8c4cff103ec457d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-12T20:59:02Z",
    "title_canon_sha256": "d00c15200fb1493ea55f5b1f676676b21d68c02c878ebdb1d1c841941622cef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3578",
    "kind": "arxiv",
    "version": 5
  }
}