Pith Number

pith:Z2FBM4TR

pith:2019:Z2FBM4TRF2P6ZIXGZOMPFZLTQD

not attested not anchored not stored refs pending

Property Invariant Embedding for Automated Reasoning

Cezary Kaliszyk, Josef Urban, Miroslav Ol\v{s}\'ak

arxiv:1911.12073 v1 · 2019-11-27 · cs.AI · cs.LG · 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{Z2FBM4TRF2P6ZIXGZOMPFZLTQD}

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	2026-07-05T03:36:50.870920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce8a1672712e9feca2e6cb98f2e57380fe712a2d7bf93c09e57812fa44cff172

Aliases

arxiv: 1911.12073 · arxiv_version: 1911.12073v1 · doi: 10.48550/arxiv.1911.12073 · pith_short_12: Z2FBM4TRF2P6 · pith_short_16: Z2FBM4TRF2P6ZIXG · pith_short_8: Z2FBM4TR

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/Z2FBM4TRF2P6ZIXGZOMPFZLTQD \
  | 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: ce8a1672712e9feca2e6cb98f2e57380fe712a2d7bf93c09e57812fa44cff172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb6ca496626a8e6d52c5a8d579c1768eb9f12fddfe93e0f03899d1f5e9c9faf",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2019-11-27T10:55:23Z",
    "title_canon_sha256": "8a34bebfb16f51e278e6521cf9d92931e9bbc94ef07e43eebc4cf60d5e4cf6e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12073",
    "kind": "arxiv",
    "version": 1
  }
}