Pith Number

pith:3AC6WAMW

pith:2018:3AC6WAMWE3QPC62PT7JXL6TK5C

not attested not anchored not stored refs pending

Explicit formula for the density of local times of Markov Jump Processes

Daniel Kious, Pierre Tarr\`es, Ruojun Huang, Vladas Sidoravicius

arxiv:1803.06930 v2 · 2018-03-19 · 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{3AC6WAMWE3QPC62PT7JXL6TK5C}

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	2026-05-18T00:20:13.352685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d805eb019626e0f17b4f9fd375fa6ae8bf9b7e087328758917b6e88060f6a387

Aliases

arxiv: 1803.06930 · arxiv_version: 1803.06930v2 · doi: 10.48550/arxiv.1803.06930 · pith_short_12: 3AC6WAMWE3QP · pith_short_16: 3AC6WAMWE3QPC62P · pith_short_8: 3AC6WAMW

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/3AC6WAMWE3QPC62PT7JXL6TK5C \
  | 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: d805eb019626e0f17b4f9fd375fa6ae8bf9b7e087328758917b6e88060f6a387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04aafce8b5406d2ce9a032ed4c48628b623e8a18929d223a6ebc52d8ef8d92ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-19T14:00:39Z",
    "title_canon_sha256": "0aa3380c76116050ed049bf54ed15df22b0d3fd9164a08af91d74948573096e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06930",
    "kind": "arxiv",
    "version": 2
  }
}