Pith Number

pith:AHJ4XNAD

pith:2005:AHJ4XNADHZWNETDCENJ7O5XU2R

not attested not anchored not stored refs pending

Deciding Quantifier-Free Presburger Formulas Using Parameterized Solution Bounds

Randal E. Bryant, Sanjit A. Seshia

arxiv:cs/0508044 v5 · 2005-08-05 · 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{AHJ4XNADHZWNETDCENJ7O5XU2R}

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	2026-05-18T00:53:03.470553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01d3cbb4033e6cd24c622353f776f4d463d7d4a2d733114f2e3fdfebd1305a69

Aliases

arxiv: cs/0508044 · arxiv_version: cs/0508044v5 · doi: 10.48550/arxiv.cs/0508044 · pith_short_12: AHJ4XNADHZWN · pith_short_16: AHJ4XNADHZWNETDC · pith_short_8: AHJ4XNAD

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/AHJ4XNADHZWNETDCENJ7O5XU2R \
  | 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: 01d3cbb4033e6cd24c622353f776f4d463d7d4a2d733114f2e3fdfebd1305a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcdc8c6b2a059cbb5dc5587146f1edd4a7af05a7c1ee663fc08ae558276bae42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2005-08-05T11:09:32Z",
    "title_canon_sha256": "91baea52421fd48e58bbf75c5fbdd57f8d78fa3c09a2dc8f5aa8dd34421a8531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0508044",
    "kind": "arxiv",
    "version": 5
  }
}