Pith Number

pith:YYTDISHC

pith:2010:YYTDISHCZ4A7NVZI4BVVXXJ4M7

not attested not anchored not stored refs pending

Stochastic calculus over symmetric Markov processes without time reversal

Kazuhiro Kuwae

arxiv:1010.3590 v2 · 2010-10-18 · 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{YYTDISHCZ4A7NVZI4BVVXXJ4M7}

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	2026-05-18T03:41:20.466546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6263448e2cf01f6d728e06b5bdd3c67f866b1c5af3d0d9c93d48c98a01b9406

Aliases

arxiv: 1010.3590 · arxiv_version: 1010.3590v2 · doi: 10.48550/arxiv.1010.3590 · pith_short_12: YYTDISHCZ4A7 · pith_short_16: YYTDISHCZ4A7NVZI · pith_short_8: YYTDISHC

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/YYTDISHCZ4A7NVZI4BVVXXJ4M7 \
  | 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: c6263448e2cf01f6d728e06b5bdd3c67f866b1c5af3d0d9c93d48c98a01b9406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b701c656ebed2df447eeb338de9dce1e53b02087c5d434bbfd3a7f352966950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-18T13:22:59Z",
    "title_canon_sha256": "da70364da490e6fc0de9f90da3da4ed6bea61ac9a6d8b9d943a6a5d03d6a9349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3590",
    "kind": "arxiv",
    "version": 2
  }
}