Pith Number

pith:3MN2EIOV

pith:2009:3MN2EIOVO2KJ5V6PVG65LYPBJ5

not attested not anchored not stored refs pending

The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems

Daniel Gottesman, Sandy Irani

arxiv:0905.2419 v2 · 2009-05-14 · 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{3MN2EIOVO2KJ5V6PVG65LYPBJ5}

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	2026-05-18T04:41:54.884453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1ba221d576949ed7cfa9bdd5e1e14f5a703c6c0d10e7118fc911f738abf822

Aliases

arxiv: 0905.2419 · arxiv_version: 0905.2419v2 · doi: 10.48550/arxiv.0905.2419 · pith_short_12: 3MN2EIOVO2KJ · pith_short_16: 3MN2EIOVO2KJ5V6P · pith_short_8: 3MN2EIOV

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/3MN2EIOVO2KJ5V6PVG65LYPBJ5 \
  | 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: db1ba221d576949ed7cfa9bdd5e1e14f5a703c6c0d10e7118fc911f738abf822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856d9736ad6e2913e9eaf13e6b31731bf562bfd823e1a6b5a09c7123d15c23bb",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-05-14T20:28:03Z",
    "title_canon_sha256": "2ff4225bbc140c33893ffe995b854d44110c53308b381fb16a4ddfa375a97cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2419",
    "kind": "arxiv",
    "version": 2
  }
}