Pith Number

pith:FPKWDVOZ

pith:2022:FPKWDVOZHJYDXTZGQREHRRYNZB

not attested not anchored not stored refs pending

Encoding inductive invariants as barrier certificates: synthesis via difference-of-convex programming

Bai Xue, Joost-Pieter Katoen, Mingshuai Chen, Naijun Zhan, Qiuye Wang

arxiv:2209.09703 v1 · 2022-09-20 · cs.LO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPKWDVOZHJYDXTZGQREHRRYNZB}

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	2026-07-05T04:59:33.487997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd561d5d93a703bcf26844878c70dc87e67987da1d1cac3182ac5cb076a045a

Aliases

arxiv: 2209.09703 · arxiv_version: 2209.09703v1 · doi: 10.48550/arxiv.2209.09703 · pith_short_12: FPKWDVOZHJYD · pith_short_16: FPKWDVOZHJYDXTZG · pith_short_8: FPKWDVOZ

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/FPKWDVOZHJYDXTZGQREHRRYNZB \
  | 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: 2bd561d5d93a703bcf26844878c70dc87e67987da1d1cac3182ac5cb076a045a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "685c40120d77fa80113d8ab1398e88929b857f3a2492e4373cd0a0ba56aa0459",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-09-20T13:21:47Z",
    "title_canon_sha256": "9f0c69dd136e6e0d0369c2475652dc463526d67944cfa964ef63d3c934927ddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.09703",
    "kind": "arxiv",
    "version": 1
  }
}