pith. sign in
Pith Number

pith:4BJPO63G

pith:2016:4BJPO63GBVOTY6GWUPOXO775IY
not attested not anchored not stored refs pending

Some Pairs Problems

Jeffrey D. Ullman, Jonathan Ullman

arxiv:1602.01443 v1 · 2016-02-03 · cs.DB

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4BJPO63GBVOTY6GWUPOXO775IY}

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 2026-05-18T01:21:20.219494Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e052f77b660d5d3c78d6a3dd777ffd461fcc6faf0d578f2bd811a4b932567a7b

Aliases

arxiv: 1602.01443 · arxiv_version: 1602.01443v1 · doi: 10.48550/arxiv.1602.01443 · pith_short_12: 4BJPO63GBVOT · pith_short_16: 4BJPO63GBVOTY6GW · pith_short_8: 4BJPO63G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4BJPO63GBVOTY6GWUPOXO775IY \
  | 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: e052f77b660d5d3c78d6a3dd777ffd461fcc6faf0d578f2bd811a4b932567a7b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7d655519ae6360efd891fc55d145bde4b9f9d2b85ff2ff20425deaaec399c00e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2016-02-03T20:14:25Z",
    "title_canon_sha256": "76d3e446d9e06891bc884dc9b8a0c842f2e33c305f315eb26358d9c9be5b028f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01443",
    "kind": "arxiv",
    "version": 1
  }
}