Pith Number

pith:YCDN5CKX

pith:2026:YCDN5CKX5ZDGC3RCCSVFHGO3MX

not attested not anchored not stored refs pending

Log-Sobolev under random monotone censoring

Patrick Oliveira Santos, Pierre Youssef, Raghavendra Tripathi

arxiv:2606.09221 v1 · 2026-06-08 · 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{YCDN5CKX5ZDGC3RCCSVFHGO3MX}

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	2026-06-09T02:08:08.265594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c086de8957ee46616e2214aa5399db65f9d38f007ee709fe2601dfc144b4e2da

Aliases

arxiv: 2606.09221 · arxiv_version: 2606.09221v1 · doi: 10.48550/arxiv.2606.09221 · pith_short_12: YCDN5CKX5ZDG · pith_short_16: YCDN5CKX5ZDGC3RC · pith_short_8: YCDN5CKX

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/YCDN5CKX5ZDGC3RCCSVFHGO3MX \
  | 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: c086de8957ee46616e2214aa5399db65f9d38f007ee709fe2601dfc144b4e2da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc675ecfd2b8e33c6d677d9ba12503fe71692f95d8c791c34e807e424ee6fae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-08T08:56:44Z",
    "title_canon_sha256": "00c74aefc305448123f0724787e90a5c9fbec1826685ed6eee3e82b07b38a12e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09221",
    "kind": "arxiv",
    "version": 1
  }
}