Pith Number

pith:TMZPWDBO

pith:2013:TMZPWDBO6BQCU5YOOZZWZSNWYW

not attested not anchored not stored refs pending

Integrability conditions for space-time stochastic integrals: Theory and applications

Carsten Chong, Claudia Kl\"uppelberg

arxiv:1303.2468 v5 · 2013-03-11 · 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{TMZPWDBO6BQCU5YOOZZWZSNWYW}

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	2026-05-18T01:09:33.100501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b32fb0c2ef0602a770e76736cc9b6c5903de90b847b86fb65fbd241dfbf6e6e

Aliases

arxiv: 1303.2468 · arxiv_version: 1303.2468v5 · doi: 10.48550/arxiv.1303.2468 · pith_short_12: TMZPWDBO6BQC · pith_short_16: TMZPWDBO6BQCU5YO · pith_short_8: TMZPWDBO

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/TMZPWDBO6BQCU5YOOZZWZSNWYW \
  | 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: 9b32fb0c2ef0602a770e76736cc9b6c5903de90b847b86fb65fbd241dfbf6e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41618cd3a0c48639695638c458b3edd88f0c37f10acea1ebeaeee2697a7732b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-11T10:06:36Z",
    "title_canon_sha256": "59e0fa090c143b8d6035870f180982e39a56f692722b804c2a1c7efdcb24613d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2468",
    "kind": "arxiv",
    "version": 5
  }
}