Pith Number

pith:72PYMTNZ

pith:2015:72PYMTNZFUJVW34VBQTVWWRJAM

not attested not anchored not stored refs pending

Entropy bounds for conjunctive queries with functional dependencies

Szymon Toru\'nczyk, Tomasz Gogacz

arxiv:1512.01808 v1 · 2015-12-06 · cs.DB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72PYMTNZFUJVW34VBQTVWWRJAM}

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	2026-05-18T01:25:10.310634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9f864db92d135b6f950c275b5a290332d2f8bb3e3a8c06a28b55892ba6cb91

Aliases

arxiv: 1512.01808 · arxiv_version: 1512.01808v1 · doi: 10.48550/arxiv.1512.01808 · pith_short_12: 72PYMTNZFUJV · pith_short_16: 72PYMTNZFUJVW34V · pith_short_8: 72PYMTNZ

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/72PYMTNZFUJVW34VBQTVWWRJAM \
  | 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: fe9f864db92d135b6f950c275b5a290332d2f8bb3e3a8c06a28b55892ba6cb91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb9dc128ecd456b17b7c1554158de45b958cf11b1161dbe51b1d7bd0aa02b8d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2015-12-06T17:15:38Z",
    "title_canon_sha256": "1f9dce5ac5f068975a03c6ab84616606242418afdaa74c4af25ff3a124f79d3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01808",
    "kind": "arxiv",
    "version": 1
  }
}