Pith Number

pith:S3PYFWXR

pith:2016:S3PYFWXRU7W2IF2PSB5IIIZP6E

not attested not anchored not stored refs pending

Bounding quantification in parametric expansions of Presburger arithmetic

John Goodrick

arxiv:1604.06166 v2 · 2016-04-21 · math.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{S3PYFWXRU7W2IF2PSB5IIIZP6E}

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	2026-05-18T00:37:52.877622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96df82daf1a7eda4174f907a84232ff13f8aed2919a3017ceba82059ade9c61d

Aliases

arxiv: 1604.06166 · arxiv_version: 1604.06166v2 · doi: 10.48550/arxiv.1604.06166 · pith_short_12: S3PYFWXRU7W2 · pith_short_16: S3PYFWXRU7W2IF2P · pith_short_8: S3PYFWXR

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/S3PYFWXRU7W2IF2PSB5IIIZP6E \
  | 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: 96df82daf1a7eda4174f907a84232ff13f8aed2919a3017ceba82059ade9c61d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da79c09e5850cfc14b3ad7550b1e29e9be681a9e4e775a522f940de60d6f5ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-04-21T02:52:00Z",
    "title_canon_sha256": "78b98188333f3462e9511dfe459353af7f4aa0e1d407086ce97081a15c0bdab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06166",
    "kind": "arxiv",
    "version": 2
  }
}