Pith Number

pith:MXSO2PSJ

pith:2021:MXSO2PSJBOX5ZAMR7X4TEN7WGD

not attested not anchored not stored refs pending

Time reversal of diffusion processes under a finite entropy condition

Christian L\'eonard, Giovanni Conforti, Ivan Gentil, Patrick Cattiaux

arxiv:2104.07708 v3 · 2021-04-15 · 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{MXSO2PSJBOX5ZAMR7X4TEN7WGD}

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	2026-07-05T04:54:00.671386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e4ed3e490bafdc8191fdf93237f630fc74c7a6b30c2c9bdb23d5b657c1d273

Aliases

arxiv: 2104.07708 · arxiv_version: 2104.07708v3 · doi: 10.48550/arxiv.2104.07708 · pith_short_12: MXSO2PSJBOX5 · pith_short_16: MXSO2PSJBOX5ZAMR · pith_short_8: MXSO2PSJ

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/MXSO2PSJBOX5ZAMR7X4TEN7WGD \
  | 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: 65e4ed3e490bafdc8191fdf93237f630fc74c7a6b30c2c9bdb23d5b657c1d273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a584a4a71ff4fb66a2ae2598170076a6ae67f1d057a003d77cf9b21d9a85f48",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-04-15T18:26:03Z",
    "title_canon_sha256": "b3cee2b0324a789b86e1a5af4af8e4874570c5fd312874af705cdbead4ff1c9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.07708",
    "kind": "arxiv",
    "version": 3
  }
}