Pith Number

pith:CETGN4OH

pith:2015:CETGN4OHLGBL6JOAPOSRBKDDUQ

not attested not anchored not stored refs pending

Exact Small Time Equivalent for the density of the Circular Langevin Diffusion

Jacques Franchi

arxiv:1510.04070 v1 · 2015-10-14 · 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{CETGN4OHLGBL6JOAPOSRBKDDUQ}

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	2026-05-18T01:30:09.334752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

112666f1c75982bf25c07ba510a863a417d5310ef8e992df615694d4f38acc12

Aliases

arxiv: 1510.04070 · arxiv_version: 1510.04070v1 · doi: 10.48550/arxiv.1510.04070 · pith_short_12: CETGN4OHLGBL · pith_short_16: CETGN4OHLGBL6JOA · pith_short_8: CETGN4OH

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/CETGN4OHLGBL6JOAPOSRBKDDUQ \
  | 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: 112666f1c75982bf25c07ba510a863a417d5310ef8e992df615694d4f38acc12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e941d2cf054a436ca1749831f189321d3da1c7ae75982609ba9cb81f5bc414",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-14T12:58:50Z",
    "title_canon_sha256": "7dc6409a1faec39a497fd8a561c0de906a28754deed151b1aad9dcde3d56f4ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04070",
    "kind": "arxiv",
    "version": 1
  }
}