Pith Number

pith:CRVG3EMY

pith:2009:CRVG3EMYBPU4E6WBLVHO34TJPF

not attested not anchored not stored refs pending

Spectral Analysis of Multi-dimensional Self-similar Markov Processes

N. Modarresi, S. Rezakhah

arxiv:0907.2295 v4 · 2009-07-14 · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRVG3EMYBPU4E6WBLVHO34TJPF}

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	2026-05-18T02:13:03.313220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

146a6d91980be9c27ac15d4eedf26979598d8e2a2fcf621011b8177e15685c3b

Aliases

arxiv: 0907.2295 · arxiv_version: 0907.2295v4 · doi: 10.48550/arxiv.0907.2295 · pith_short_12: CRVG3EMYBPU4 · pith_short_16: CRVG3EMYBPU4E6WB · pith_short_8: CRVG3EMY

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/CRVG3EMYBPU4E6WBLVHO34TJPF \
  | 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: 146a6d91980be9c27ac15d4eedf26979598d8e2a2fcf621011b8177e15685c3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523cab191ec9e329a7a0b875df8ea135bda012299f347a5400a9c0089e9106f3",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-14T07:11:33Z",
    "title_canon_sha256": "2cf3f3c11fb8560ec355759456a033956725aa779808efbbfddc4f434a9a4906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2295",
    "kind": "arxiv",
    "version": 4
  }
}