Pith Number

pith:7TYGZ3ZX

pith:2025:7TYGZ3ZXT3YD7ZG4WT2RE4WJWN

not attested not anchored not stored refs pending

Reasoning about concurrent loops and recursion with rely-guarantee rules

Cliff B. Jones, Ian J. Hayes, Larissa A. Meinicke

arxiv:2512.06242 v2 · 2025-12-06 · cs.LO · cs.PL · cs.SE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TYGZ3ZXT3YD7ZG4WT2RE4WJWN}

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	2026-06-12T01:09:17.510014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf06cef379ef03fe4dcb4f51272c9b361e31cd5d17998f3b19f05c5549af4aa

Aliases

arxiv: 2512.06242 · arxiv_version: 2512.06242v2 · doi: 10.48550/arxiv.2512.06242 · pith_short_12: 7TYGZ3ZXT3YD · pith_short_16: 7TYGZ3ZXT3YD7ZG4 · pith_short_8: 7TYGZ3ZX

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/7TYGZ3ZXT3YD7ZG4WT2RE4WJWN \
  | 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: fcf06cef379ef03fe4dcb4f51272c9b361e31cd5d17998f3b19f05c5549af4aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11a8d5bb50e2481a4c47bd7f357ade4c41bcd8a70dcf59070e5062982b530e57",
    "cross_cats_sorted": [
      "cs.PL",
      "cs.SE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-12-06T01:57:42Z",
    "title_canon_sha256": "54719bc3314501016f990048d6e439d0524520e6b8d38a5538425adbd33e1154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.06242",
    "kind": "arxiv",
    "version": 2
  }
}