Pith Number

pith:IQ3HM2FB

pith:2021:IQ3HM2FBP7ACHVGUBUKDOC5PZ7

not attested not anchored not stored refs pending

Inferring Invariants with Quantifier Alternations: Taming the Search Space Explosion

Alex Aiken, Jason R. Koenig, Oded Padon, Sharon Shoham

arxiv:2112.05304 v1 · 2021-12-10 · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQ3HM2FBP7ACHVGUBUKDOC5PZ7}

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	2026-07-05T03:39:39.191365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44367668a17fc023d4d40d14370bafcfe10666d4a28f558400d80af6a64515f4

Aliases

arxiv: 2112.05304 · arxiv_version: 2112.05304v1 · doi: 10.48550/arxiv.2112.05304 · pith_short_12: IQ3HM2FBP7AC · pith_short_16: IQ3HM2FBP7ACHVGU · pith_short_8: IQ3HM2FB

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/IQ3HM2FBP7ACHVGUBUKDOC5PZ7 \
  | 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: 44367668a17fc023d4d40d14370bafcfe10666d4a28f558400d80af6a64515f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "434576eed9f861ff8a4947d45df18b61d21f4cf2d74d1cbe44a739fae65273f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2021-12-10T02:47:44Z",
    "title_canon_sha256": "1e977d24ee94b6836eb55510932a80a7ba11f38ac4cec53424672f712fa3d3f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05304",
    "kind": "arxiv",
    "version": 1
  }
}