Pith Number

pith:YWBZFDKV

pith:2016:YWBZFDKV4NVHOPMZMPFGX3S2PS

not attested not anchored not stored refs pending

On the locality of arb-invariant first-order formulas with modulo counting quantifiers

Frederik Harwath, Nicole Schweikardt

arxiv:1611.07716 v3 · 2016-11-23 · 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{YWBZFDKV4NVHOPMZMPFGX3S2PS}

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	2026-05-17T23:51:21.753332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c583928d55e36a773d9963ca6bee5a7cbb0e83c36a386584c22a9fd6e533205a

Aliases

arxiv: 1611.07716 · arxiv_version: 1611.07716v3 · doi: 10.48550/arxiv.1611.07716 · pith_short_12: YWBZFDKV4NVH · pith_short_16: YWBZFDKV4NVHOPMZ · pith_short_8: YWBZFDKV

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/YWBZFDKV4NVHOPMZMPFGX3S2PS \
  | 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: c583928d55e36a773d9963ca6bee5a7cbb0e83c36a386584c22a9fd6e533205a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e90ff2f1ce7b503a11b77a4ce9ec04693973681b5c7fb99feebfc699624ebd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-11-23T10:08:01Z",
    "title_canon_sha256": "bff894fee67e12db4027e4550b3eb252066cecc375eb653a7689e84a3dba0c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07716",
    "kind": "arxiv",
    "version": 3
  }
}