Pith Number

pith:4ETMIMUG

pith:2010:4ETMIMUGYONVXAB2A7VGZEERJB

not attested not anchored not stored refs pending

Beyond Quantifier-Free Interpolation in Extensions of Presburger Arithmetic (Extended Technical Report)

Angelo Brillout, Daniel Kroening, Philipp Ruemmer, Thomas Wahl

arxiv:1011.1036 v1 · 2010-11-03 · 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{4ETMIMUGYONVXAB2A7VGZEERJB}

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	2026-05-18T02:04:53.092486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e126c43286c39b5b803a07ea6c909148772ec4e9024097cb2344279bfee6af7c

Aliases

arxiv: 1011.1036 · arxiv_version: 1011.1036v1 · doi: 10.48550/arxiv.1011.1036 · pith_short_12: 4ETMIMUGYONV · pith_short_16: 4ETMIMUGYONVXAB2 · pith_short_8: 4ETMIMUG

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/4ETMIMUGYONVXAB2A7VGZEERJB \
  | 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: e126c43286c39b5b803a07ea6c909148772ec4e9024097cb2344279bfee6af7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4afd252078aa8cc545e98ccf1c27aca038041fb03b9b0db7a12a2452a229ad8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2010-11-03T23:49:15Z",
    "title_canon_sha256": "4719b36bd38b156146cf7bf72e347b7f78393ed7c873af9349ca501657ac3296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1036",
    "kind": "arxiv",
    "version": 1
  }
}