Pith Number

pith:UTGA3SIO

pith:2017:UTGA3SIO6YCI6GTD53GYDOY63H

not attested not anchored not stored refs pending

Derivation of the Chapman-Kolmogorov type equation from a stochastic hybrid system

Xige Yang

arxiv:1710.05965 v2 · 2017-10-16 · 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{UTGA3SIO6YCI6GTD53GYDOY63H}

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	2026-05-18T00:18:31.457898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4cc0dc90ef6048f1a63eecd81bb1ed9f480e852535d9dcb3b0fc2a611c55f30

Aliases

arxiv: 1710.05965 · arxiv_version: 1710.05965v2 · doi: 10.48550/arxiv.1710.05965 · pith_short_12: UTGA3SIO6YCI · pith_short_16: UTGA3SIO6YCI6GTD · pith_short_8: UTGA3SIO

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/UTGA3SIO6YCI6GTD53GYDOY63H \
  | 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: a4cc0dc90ef6048f1a63eecd81bb1ed9f480e852535d9dcb3b0fc2a611c55f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dcf6e5632a80212f0dd7fa09f72c26f1402ac1b13f0f4598859869ddbf3f851",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-16T19:29:00Z",
    "title_canon_sha256": "0e70bd38f71270aba495fb1dd9998c70394be251543793a158d5d567a463c5a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05965",
    "kind": "arxiv",
    "version": 2
  }
}