Pith Number

pith:ZVN7YUT3

pith:2018:ZVN7YUT3R45BR6YU3ENSVGWREG

not attested not anchored not stored refs pending

Average-Case Lower Bounds and Satisfiability Algorithms for Small Threshold Circuits

Rahul Santhanam, Ruiwen Chen, Srikanth Srinivasan

arxiv:1806.06290 v1 · 2018-06-16 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVN7YUT3R45BR6YU3ENSVGWREG}

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	2026-05-18T00:13:03.004553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd5bfc527b8f3a18fb14d91b2a9ad121aadc50dde61064c0cc848f07f6205720

Aliases

arxiv: 1806.06290 · arxiv_version: 1806.06290v1 · doi: 10.48550/arxiv.1806.06290 · pith_short_12: ZVN7YUT3R45B · pith_short_16: ZVN7YUT3R45BR6YU · pith_short_8: ZVN7YUT3

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/ZVN7YUT3R45BR6YU3ENSVGWREG \
  | 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: cd5bfc527b8f3a18fb14d91b2a9ad121aadc50dde61064c0cc848f07f6205720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7430c0f186595c826867942eb83df84e8b013f5ebffe2bcbe380b5db47dc83cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-06-16T20:32:51Z",
    "title_canon_sha256": "8f4c53d777c71988be6af6362a21b0fb214efe1353ce130d8464c588030ae96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06290",
    "kind": "arxiv",
    "version": 1
  }
}