Pith Number

pith:NMGOCOEC

pith:2016:NMGOCOECV74JWH27S2VNX7BIZ5

not attested not anchored not stored refs pending

Inversion, duality and Doob $h$-transforms for self-similar Markov processes

Larbi Alili, Lo\"ic Chaumont, Piotr Graczyk, Tomasz \.Zak

arxiv:1601.08056 v1 · 2016-01-29 · 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{NMGOCOECV74JWH27S2VNX7BIZ5}

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	2026-05-18T01:21:41.050942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b0ce13882aff89b1f5f96aadbfc28cf79e93ec26d0f05608c67ecb91fc7b86e

Aliases

arxiv: 1601.08056 · arxiv_version: 1601.08056v1 · doi: 10.48550/arxiv.1601.08056 · pith_short_12: NMGOCOECV74J · pith_short_16: NMGOCOECV74JWH27 · pith_short_8: NMGOCOEC

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/NMGOCOECV74JWH27S2VNX7BIZ5 \
  | 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: 6b0ce13882aff89b1f5f96aadbfc28cf79e93ec26d0f05608c67ecb91fc7b86e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f760d3b96259e4cbb8ba3bf9ca75e0f820f591d634fe1bc45726677420be9376",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-29T11:12:15Z",
    "title_canon_sha256": "5756d13e44c9a3da26ab98082413def7f8588bd4487c5f69c4e8b24b5fe996aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08056",
    "kind": "arxiv",
    "version": 1
  }
}