Pith Number

pith:UO3N5CT5

pith:2011:UO3N5CT5K4VVTB2SBAPKSQ77DJ

not attested not anchored not stored refs pending

The Lamperti representation of real-valued self-similar Markov processes

Henry Pant\'i, Lo\"ic Chaumont, V\'ictor Rivero

arxiv:1111.1272 v3 · 2011-11-05 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UO3N5CT5K4VVTB2SBAPKSQ77DJ}

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	2026-05-18T03:04:24.422725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3b6de8a7d572b598752081ea943ff1a7ea2abe59bad0a1a78bf0a89533ddb1d

Aliases

arxiv: 1111.1272 · arxiv_version: 1111.1272v3 · doi: 10.48550/arxiv.1111.1272 · pith_short_12: UO3N5CT5K4VV · pith_short_16: UO3N5CT5K4VVTB2S · pith_short_8: UO3N5CT5

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/UO3N5CT5K4VVTB2SBAPKSQ77DJ \
  | 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: a3b6de8a7d572b598752081ea943ff1a7ea2abe59bad0a1a78bf0a89533ddb1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a169040505729e5f33428218dd58e55db3c8773368a4e48b3d940d71b944fc3c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-05T00:04:52Z",
    "title_canon_sha256": "3e34ba81c2ef4f6b22e6577b27f5434bbb473ead21ed44c0fa5bac4cb403073f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1272",
    "kind": "arxiv",
    "version": 3
  }
}