Pith Number

pith:CKY7NZ3V

pith:2013:CKY7NZ3VODGIQ73PUURCLVJXTZ

not attested not anchored not stored refs pending

The commuting local Hamiltonian on locally-expanding graphs is in NP

Dorit Aharonov, Lior Eldar

arxiv:1311.7378 v1 · 2013-11-28 · 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{CKY7NZ3VODGIQ73PUURCLVJXTZ}

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.

Cited by

1 paper in Pith

The Complexity of Local Stoquastic Hamiltonians on 2D Lattices

Receipt and verification

First computed	2026-05-18T03:05:56.474596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b1f6e77570cc887f6fa52225d5379e7fbee00a909b8eb34c7f093ef65fe21d

Aliases

arxiv: 1311.7378 · arxiv_version: 1311.7378v1 · doi: 10.48550/arxiv.1311.7378 · pith_short_12: CKY7NZ3VODGI · pith_short_16: CKY7NZ3VODGIQ73P · pith_short_8: CKY7NZ3V

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/CKY7NZ3VODGIQ73PUURCLVJXTZ \
  | 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: 12b1f6e77570cc887f6fa52225d5379e7fbee00a909b8eb34c7f093ef65fe21d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61eaee1b1080af02dec067eeec158ddd5f2887b8e6141431119ad1ed737bc259",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-28T17:23:46Z",
    "title_canon_sha256": "bced9d73625d2c14922695aded679a06761228e2533a71392865020ff10d73a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7378",
    "kind": "arxiv",
    "version": 1
  }
}