Pith Number

pith:S6VZ2TR3

pith:2024:S6VZ2TR364JY4MSIGCVQTXM6UO

not attested not anchored not stored refs pending

Characterization of subordinate symmetric Markov processes

Ryuto Kushida

arxiv:2412.05030 v2 · 2024-12-06 · 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{S6VZ2TR364JY4MSIGCVQTXM6UO}

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	2026-07-05T09:49:13.439506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ab9d4e3bf7138e324830ab09dd9ea39a4dcbd630eda682cc2073c58ea35be4

Aliases

arxiv: 2412.05030 · arxiv_version: 2412.05030v2 · doi: 10.48550/arxiv.2412.05030 · pith_short_12: S6VZ2TR364JY · pith_short_16: S6VZ2TR364JY4MSI · pith_short_8: S6VZ2TR3

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/S6VZ2TR364JY4MSIGCVQTXM6UO \
  | 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: 97ab9d4e3bf7138e324830ab09dd9ea39a4dcbd630eda682cc2073c58ea35be4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d1abd64f5504e0177d0dd612d490903c5310253c9bee8b2be2cd90420c46c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-06T13:28:06Z",
    "title_canon_sha256": "f658d2233f3777f7815edc11c88ed3a51f04188b790c89a6ac2ac3e868c683b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05030",
    "kind": "arxiv",
    "version": 2
  }
}