Pith Number

pith:ZU5LU7FR

pith:2018:ZU5LU7FRRYXJWOZWKZBQZXCUWH

not attested not anchored not stored refs pending

Rigid models of Presburger arithmetic

Emil Je\v{r}\'abek

arxiv:1803.05797 v2 · 2018-03-15 · math.LO · 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{ZU5LU7FRRYXJWOZWKZBQZXCUWH}

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	2026-05-17T23:45:53.204181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3aba7cb18e2e9b3b3656430cdc54b1ce451f366c3003dc602ac141c86b5b23

Aliases

arxiv: 1803.05797 · arxiv_version: 1803.05797v2 · doi: 10.48550/arxiv.1803.05797 · pith_short_12: ZU5LU7FRRYXJ · pith_short_16: ZU5LU7FRRYXJWOZW · pith_short_8: ZU5LU7FR

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/ZU5LU7FRRYXJWOZWKZBQZXCUWH \
  | 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: cd3aba7cb18e2e9b3b3656430cdc54b1ce451f366c3003dc602ac141c86b5b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1fe7eff8681b9b1844aea564af0e9339ba13dbf711624bba871d9931645c84",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-03-15T15:16:25Z",
    "title_canon_sha256": "413fdf2708a229f824ce14d59f53143e694f8ff982c70a05830fe2cb8dc04193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05797",
    "kind": "arxiv",
    "version": 2
  }
}