Pith Number

pith:X56DCGWY

pith:2015:X56DCGWYDGEJYMW7ZMYTVZFPB7

not attested not anchored not stored refs pending

The Budget-Constrained Functional Dependency

Jia Tao, Pavel G. Naumov

arxiv:1507.05964 v1 · 2015-07-21 · 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{X56DCGWYDGEJYMW7ZMYTVZFPB7}

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	2026-05-18T01:36:27.053594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf7c311ad819889c32dfcb313ae4af0fe65ecb23fe8169b6fdc209209c7b85b8

Aliases

arxiv: 1507.05964 · arxiv_version: 1507.05964v1 · doi: 10.48550/arxiv.1507.05964 · pith_short_12: X56DCGWYDGEJ · pith_short_16: X56DCGWYDGEJYMW7 · pith_short_8: X56DCGWY

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/X56DCGWYDGEJYMW7ZMYTVZFPB7 \
  | 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: bf7c311ad819889c32dfcb313ae4af0fe65ecb23fe8169b6fdc209209c7b85b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab735535c5596996baa2aa31c0041ec1f327033877197320f4ef2723efc2e4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-07-21T20:00:40Z",
    "title_canon_sha256": "33effd1f3c79b0cfd47d639bb5b27b6c7e2aee294abdeca7b210e2abe131e195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05964",
    "kind": "arxiv",
    "version": 1
  }
}