Pith Number

pith:5GAV4SFX

pith:2012:5GAV4SFXSLCYVMFOC6JCF5OMHC

not attested not anchored not stored refs pending

A Jump-Type SDE Approach to Real-Valued Self-Similar Markov Processes

Leif Doering

arxiv:1206.3515 v1 · 2012-06-15 · 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{5GAV4SFXSLCYVMFOC6JCF5OMHC}

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	2026-05-18T03:53:30.031853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9815e48b792c58ab0ae179222f5cc38a38dbe84e6acc2e468d371794f0a2e16

Aliases

arxiv: 1206.3515 · arxiv_version: 1206.3515v1 · doi: 10.48550/arxiv.1206.3515 · pith_short_12: 5GAV4SFXSLCY · pith_short_16: 5GAV4SFXSLCYVMFO · pith_short_8: 5GAV4SFX

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/5GAV4SFXSLCYVMFOC6JCF5OMHC \
  | 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: e9815e48b792c58ab0ae179222f5cc38a38dbe84e6acc2e468d371794f0a2e16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db57467d440b75281cb2280074d8edb7e7ca63fa042bc58670d8dd9d26e4fc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-15T16:48:47Z",
    "title_canon_sha256": "86bcfa72eb5e03cf1f0c944cb728e202f65f3812b12d167b0bba3124dca3294d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3515",
    "kind": "arxiv",
    "version": 1
  }
}