Pith Number

pith:BKK3YHXY

pith:2015:BKK3YHXY2CQERSLV4MZXRQ3Y6Q

not attested not anchored not stored refs pending

Constrained Sampling and Counting: Universal Hashing Meets SAT Solving

Alexander Ivrii, Daniel J. Fremont, Dror Fried, Kuldeep S. Meel, Moshe Vardi, Sanjit A. Seshia, Sharad Malik, Supratik Chakraborty

arxiv:1512.06633 v1 · 2015-12-21 · cs.AI · 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{BKK3YHXY2CQERSLV4MZXRQ3Y6Q}

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	2026-05-18T01:23:59.995569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a95bc1ef8d0a048c975e33378c378f41e6dcdcc172b0579476fe155d0aa1d10

Aliases

arxiv: 1512.06633 · arxiv_version: 1512.06633v1 · doi: 10.48550/arxiv.1512.06633 · pith_short_12: BKK3YHXY2CQE · pith_short_16: BKK3YHXY2CQERSLV · pith_short_8: BKK3YHXY

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/BKK3YHXY2CQERSLV4MZXRQ3Y6Q \
  | 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: 0a95bc1ef8d0a048c975e33378c378f41e6dcdcc172b0579476fe155d0aa1d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c62c12ae0c2ec75eed72556a3f287ff5fa1465fadc9402bca68737fb192f7db7",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2015-12-21T14:10:10Z",
    "title_canon_sha256": "af9d75a31f0a0333cf2a04d8e5e397c52eeb8bb5331aa66db4c4906584658e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06633",
    "kind": "arxiv",
    "version": 1
  }
}