Pith Number

pith:QBP7A5H4

pith:2018:QBP7A5H4LWZAY2KSRMMPZWWO3S

not attested not anchored not stored refs pending

Parametric Presburger Arithmetic: Complexity of Counting and Quantifier Elimination

Danny Nguyen, John Goodrick, Kevin Woods, Tristram Bogart

arxiv:1802.00974 v1 · 2018-02-03 · math.LO · cs.CC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBP7A5H4LWZAY2KSRMMPZWWO3S}

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	2026-05-18T00:24:27.728894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805ff074fc5db20c69528b18fcdacedc8d884a0bc3024d241198e281daca929c

Aliases

arxiv: 1802.00974 · arxiv_version: 1802.00974v1 · doi: 10.48550/arxiv.1802.00974 · pith_short_12: QBP7A5H4LWZA · pith_short_16: QBP7A5H4LWZAY2KS · pith_short_8: QBP7A5H4

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/QBP7A5H4LWZAY2KSRMMPZWWO3S \
  | 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: 805ff074fc5db20c69528b18fcdacedc8d884a0bc3024d241198e281daca929c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8224792b54de6ceb146eb2ce84342cbc37111e46c8444e56a3debb5370016106",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-02-03T13:28:13Z",
    "title_canon_sha256": "1dadec06eb70cd583ec27510a5e1f40a9648499160e71b3ca7149a4411611be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00974",
    "kind": "arxiv",
    "version": 1
  }
}