Pith Number

pith:UKYN33HP

pith:2026:UKYN33HPMSY2CFFI26H47M5QPE

not attested not anchored not stored refs pending

Complete Supermartingale Certificates for $\omega$-Regular Properties

Alessandro Abate, Diptarko Roy, Mirco Giacobbe, Sergey Ichtchenko

arxiv:2605.21134 v1 · 2026-05-20 · 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{UKYN33HPMSY2CFFI26H47M5QPE}

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	2026-05-21T01:05:39.266532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b0ddecef64b1a114a8d78fcfb3b0791e85231ccd1d2b029e06060b49e5fed9

Aliases

arxiv: 2605.21134 · arxiv_version: 2605.21134v1 · doi: 10.48550/arxiv.2605.21134 · pith_short_12: UKYN33HPMSY2 · pith_short_16: UKYN33HPMSY2CFFI · pith_short_8: UKYN33HP

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/UKYN33HPMSY2CFFI26H47M5QPE \
  | 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: a2b0ddecef64b1a114a8d78fcfb3b0791e85231ccd1d2b029e06060b49e5fed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ee698699f1ae4068bacfb401ea4cf95eb1217dced58a3739e3e5aec72de1360",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-20T13:09:41Z",
    "title_canon_sha256": "cec9f5b6bdc903058861e32c12c8e3742b965f035336e325ff63b47a2b96c4d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21134",
    "kind": "arxiv",
    "version": 1
  }
}