Pith Number

pith:RIB7WGSS

pith:2020:RIB7WGSSHAT2TE44C5S3L4AEWK

not attested not anchored not stored refs pending

Quantum Lower and Upper Bounds for 2D-Grid and Dyck Language

Andris Ambainis, J\=anis Iraids, Jevg\=enijs Vihrovs, Juris Smotrovs, Kamil Khadiev, Kaspars Balodis, Kri\v{s}j\=anis Pr\=usis, Vladislavs K\c{l}evickis, Yixin Shen

arxiv:2007.03402 v2 · 2020-07-06 · cs.DS · cs.CC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIB7WGSSHAT2TE44C5S3L4AEWK}

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	2026-07-05T01:17:29.110428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a03fb1a523827a9939c1765b5f004b2939e904b005270b70a164ba1ec740d20

Aliases

arxiv: 2007.03402 · arxiv_version: 2007.03402v2 · doi: 10.48550/arxiv.2007.03402 · pith_short_12: RIB7WGSSHAT2 · pith_short_16: RIB7WGSSHAT2TE44 · pith_short_8: RIB7WGSS

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/RIB7WGSSHAT2TE44C5S3L4AEWK \
  | 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: 8a03fb1a523827a9939c1765b5f004b2939e904b005270b70a164ba1ec740d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6330a2c68abff752e8ab8ff0ed685b94b3c5658e73d8d4c037e43a4c8deb4ff3",
    "cross_cats_sorted": [
      "cs.CC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-07-06T09:51:41Z",
    "title_canon_sha256": "7b0fff1ed6238785057d627c397ce55c4cfa3b4b05c784e40a3d7b0847387cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.03402",
    "kind": "arxiv",
    "version": 2
  }
}