Pith Number

pith:4LI6PXML

pith:2015:4LI6PXMLZZO2SLOW3D5ONZWUIF

not attested not anchored not stored refs pending

A pseudo-Markov property for controlled diffusion processes

Denis Talay, Julien Claisse, Xiaolu Tan

arxiv:1501.03939 v1 · 2015-01-16 · 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{4LI6PXMLZZO2SLOW3D5ONZWUIF}

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	2026-05-18T02:29:16.716046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d1e7dd8bce5da92dd6d8fae6e6d441582e6a2d5aef508e70d6fe8869f61be3

Aliases

arxiv: 1501.03939 · arxiv_version: 1501.03939v1 · doi: 10.48550/arxiv.1501.03939 · pith_short_12: 4LI6PXMLZZO2 · pith_short_16: 4LI6PXMLZZO2SLOW · pith_short_8: 4LI6PXML

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/4LI6PXMLZZO2SLOW3D5ONZWUIF \
  | 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: e2d1e7dd8bce5da92dd6d8fae6e6d441582e6a2d5aef508e70d6fe8869f61be3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da3631ba0a0372db9debbca071c427d9e35de3ecfc9cbaf7ebafacb01f7e5c4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-16T10:30:31Z",
    "title_canon_sha256": "0f14e3b7d729246749e51c82a0bfdaa73adfdff49e6f7c95d499a27319de0ac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03939",
    "kind": "arxiv",
    "version": 1
  }
}