Pith Number

pith:PY2VCEP5

pith:2025:PY2VCEP5Q2C7IEC7JSNXCKIMTA

not attested not anchored not stored refs pending

Complex Bounded Operators in Isabelle/HOL

Dominique Unruh, Jos\'e Manuel Rodr\'iguez Caballero

arxiv:2512.05878 v2 · 2025-12-05 · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PY2VCEP5Q2C7IEC7JSNXCKIMTA}

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	2026-06-02T02:04:11.972734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e355111fd8685f4105f4c9b71290c980db9dacccdbfbadb94c6d75c899e2c50

Aliases

arxiv: 2512.05878 · arxiv_version: 2512.05878v2 · doi: 10.48550/arxiv.2512.05878 · pith_short_12: PY2VCEP5Q2C7 · pith_short_16: PY2VCEP5Q2C7IEC7 · pith_short_8: PY2VCEP5

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/PY2VCEP5Q2C7IEC7JSNXCKIMTA \
  | 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: 7e355111fd8685f4105f4c9b71290c980db9dacccdbfbadb94c6d75c899e2c50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b40b7762df655525464f6220e0296437e6d4b96b59dfd43ef2976eed4e82591",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-12-05T16:54:34Z",
    "title_canon_sha256": "c8c7df328d6132c2dd797b65da19dd759cbde24b454dfeb5f765cf7a6a793a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.05878",
    "kind": "arxiv",
    "version": 2
  }
}