Pith Number

pith:CZBEGHDT

pith:2012:CZBEGHDTKDLBNIBSZBJIM5F77V

not attested not anchored not stored refs pending

A Generalized Mean-Reverting Equation and Applications

Nicolas Marie

arxiv:1208.1165 v5 · 2012-08-06 · 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{CZBEGHDTKDLBNIBSZBJIM5F77V}

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	2026-05-17T23:56:25.476005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1642431c7350d616a032c8528674bffd4bc0875550856377dc115c4d79ea4b33

Aliases

arxiv: 1208.1165 · arxiv_version: 1208.1165v5 · doi: 10.48550/arxiv.1208.1165 · pith_short_12: CZBEGHDTKDLB · pith_short_16: CZBEGHDTKDLBNIBS · pith_short_8: CZBEGHDT

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/CZBEGHDTKDLBNIBSZBJIM5F77V \
  | 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: 1642431c7350d616a032c8528674bffd4bc0875550856377dc115c4d79ea4b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6ec4f1501b280ecf7f0580b378cedd79035ba85a77ca9be20c9c388e6b8844",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-06T14:22:16Z",
    "title_canon_sha256": "641fd87b04724957156fdb1cc7a4f69d7fc0b5cb6912ad0d45c998f36d4403f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1165",
    "kind": "arxiv",
    "version": 5
  }
}