Pith Number

pith:6MB23HIJ

pith:2018:6MB23HIJQTBJMBB6MSFO2DAEDT

not attested not anchored not stored refs pending

Classical lower bounds from quantum upper bounds

Adam Bouland, Ankit Garg, Robin Kothari, Shalev Ben-David

arxiv:1807.06256 v1 · 2018-07-17 · quant-ph · 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{6MB23HIJQTBJMBB6MSFO2DAEDT}

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	2026-05-18T00:10:33.556201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f303ad9d0984c296043e648aed0c041cfd266a7fab203794ba10ab2a70d07562

Aliases

arxiv: 1807.06256 · arxiv_version: 1807.06256v1 · doi: 10.48550/arxiv.1807.06256 · pith_short_12: 6MB23HIJQTBJ · pith_short_16: 6MB23HIJQTBJMBB6 · pith_short_8: 6MB23HIJ

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/6MB23HIJQTBJMBB6MSFO2DAEDT \
  | 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: f303ad9d0984c296043e648aed0c041cfd266a7fab203794ba10ab2a70d07562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a2744caa9c447f4930f93574ab3b1769e2a2e4c4a64cba0ad5a1f7692c1fdd",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-07-17T07:12:45Z",
    "title_canon_sha256": "5a5e84bbb20aced8e972357387875129232fcd72ef90d5f8732ab2a96fb5f97e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06256",
    "kind": "arxiv",
    "version": 1
  }
}