Pith Number

pith:UGNVW6PT

pith:2023:UGNVW6PTPD6EVFH4XIHUCPT7BO

not attested not anchored not stored refs pending

On the restriction of a right process outside a negligible set

Liping Li, Michael R\"ockner

arxiv:2306.08520 v1 · 2023-06-14 · 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{UGNVW6PTPD6EVFH4XIHUCPT7BO}

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	2026-07-05T06:20:53.668216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19b5b79f378fc4a94fcba0f413e7f0bb377729dfe865095da8ce28b4a7754aa

Aliases

arxiv: 2306.08520 · arxiv_version: 2306.08520v1 · doi: 10.48550/arxiv.2306.08520 · pith_short_12: UGNVW6PTPD6E · pith_short_16: UGNVW6PTPD6EVFH4 · pith_short_8: UGNVW6PT

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/UGNVW6PTPD6EVFH4XIHUCPT7BO \
  | 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: a19b5b79f378fc4a94fcba0f413e7f0bb377729dfe865095da8ce28b4a7754aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157eed3c03f4eb34d53a79d1ccbff2509652aae4cf31a77a6995c2c92a58e0c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-06-14T14:11:45Z",
    "title_canon_sha256": "c77fbf2284c46651e8c97534b62a27e625eac2f5ca3cd0e62591e9bf6c363d46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.08520",
    "kind": "arxiv",
    "version": 1
  }
}