Pith Number

pith:5WOPO2VL

pith:2015:5WOPO2VLCLUF2QM7BMT7ZG2E5O

not attested not anchored not stored refs pending

A Polynomial Lower Bound for Testing Monotonicity

Aleksandrs Belovs, Eric Blais

arxiv:1511.05053 v1 · 2015-11-16 · cs.CC · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WOPO2VLCLUF2QM7BMT7ZG2E5O}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:26:50.951929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed9cf76aab12e85d419f0b27fc9b44ebb16b1f62dfd9973297ec54f0c570c73e

Aliases

arxiv: 1511.05053 · arxiv_version: 1511.05053v1 · doi: 10.48550/arxiv.1511.05053 · pith_short_12: 5WOPO2VLCLUF · pith_short_16: 5WOPO2VLCLUF2QM7 · pith_short_8: 5WOPO2VL

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/5WOPO2VLCLUF2QM7BMT7ZG2E5O \
  | 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: ed9cf76aab12e85d419f0b27fc9b44ebb16b1f62dfd9973297ec54f0c570c73e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb3fb1b787f56dd282dc1d8a792d7404375d633baeac3b0384e14d9608a56749",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-11-16T17:38:59Z",
    "title_canon_sha256": "b45bbea9f5a1def20bdcaf207f25ad9dcca139c923d807a2a50f60eed9cec0ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05053",
    "kind": "arxiv",
    "version": 1
  }
}