Pith Number

pith:II326AXI

pith:2022:II326AXIYLWYZPI22UZEUAMSMK

not attested not anchored not stored refs pending

Testability and local certification of monotone properties in minor-closed classes

Louis Esperet, Sergey Norin

arxiv:2202.00543 v3 · 2022-02-01 · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{II326AXIYLWYZPI22UZEUAMSMK}

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	2026-07-05T04:19:53.498261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4237af02e8c2ed8cbd1ad5324a019262a66208971747f5fc79f4d19c1bba8ce4

Aliases

arxiv: 2202.00543 · arxiv_version: 2202.00543v3 · doi: 10.48550/arxiv.2202.00543 · pith_short_12: II326AXIYLWY · pith_short_16: II326AXIYLWYZPI2 · pith_short_8: II326AXI

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/II326AXIYLWYZPI22UZEUAMSMK \
  | 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: 4237af02e8c2ed8cbd1ad5324a019262a66208971747f5fc79f4d19c1bba8ce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a75250c416a3fa2cee33c2fff127ea185a996b8f6a1b77b9659c3aa277f83e9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-02-01T16:39:34Z",
    "title_canon_sha256": "5580e27efc37ff43b27de274d737fcf5109ec6cd792f4d9fe667d494a9714ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.00543",
    "kind": "arxiv",
    "version": 3
  }
}