Pith Number

pith:6P67I4TT

pith:2018:6P67I4TT5F4KVR34WQW3K5CX3M

not attested not anchored not stored refs pending

Long-memory Gaussian processes governed by generalized Fokker-Planck equations

Luisa Beghin

arxiv:1810.12011 v2 · 2018-10-29 · 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{6P67I4TT5F4KVR34WQW3K5CX3M}

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	2026-05-17T23:52:04.562191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3fdf47273e978aac77cb42db57457db021f7e3d28573fea59d03fbbcef8ac50

Aliases

arxiv: 1810.12011 · arxiv_version: 1810.12011v2 · doi: 10.48550/arxiv.1810.12011 · pith_short_12: 6P67I4TT5F4K · pith_short_16: 6P67I4TT5F4KVR34 · pith_short_8: 6P67I4TT

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/6P67I4TT5F4KVR34WQW3K5CX3M \
  | 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: f3fdf47273e978aac77cb42db57457db021f7e3d28573fea59d03fbbcef8ac50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9261d167da637725c88fd669f9cbae53816a0cc45e5e450309c3ef4b4e842511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-29T09:12:51Z",
    "title_canon_sha256": "ffac8426b9cc5779b857b31de66ff0e5fc0e704db9d650813b04d3a42031635e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12011",
    "kind": "arxiv",
    "version": 2
  }
}