Pith Number

pith:MEDJNQJD

pith:2021:MEDJNQJDQKHORAZRVTR74XFACC

not attested not anchored not stored refs pending

Cauchy Problem of Stochastic Kinetic Equations

XiaoLong Zhang, Xicheng Zhang

arxiv:2103.02267 v1 · 2021-03-03 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEDJNQJDQKHORAZRVTR74XFACC}

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	2026-07-05T02:20:02.542710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

610696c123828ee88331ace3fe5ca0109cf5824a49801a17f8480196714a9b6f

Aliases

arxiv: 2103.02267 · arxiv_version: 2103.02267v1 · doi: 10.48550/arxiv.2103.02267 · pith_short_12: MEDJNQJDQKHO · pith_short_16: MEDJNQJDQKHORAZR · pith_short_8: MEDJNQJD

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/MEDJNQJDQKHORAZRVTR74XFACC \
  | 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: 610696c123828ee88331ace3fe5ca0109cf5824a49801a17f8480196714a9b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5aef012e308c8b1b6111bdd5d593c17cad125905e46615974b64d8625383e9a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-03-03T09:08:22Z",
    "title_canon_sha256": "156f18bf9cafa168cf8700a6ff22e550719bd4b238c0648b85bab5c3fc278d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02267",
    "kind": "arxiv",
    "version": 1
  }
}