Pith Number

pith:TPYSIQP5

pith:2013:TPYSIQP5FOV3KPKZ2SLUZFVYQI

not attested not anchored not stored refs pending

Quantum Systems on Non-$k$-Hyperfinite Complexes: A Generalization of Classical Statistical Mechanics on Expander Graphs

M. B. Hastings, M. H. Freedman

arxiv:1301.1363 v2 · 2013-01-07 · 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{TPYSIQP5FOV3KPKZ2SLUZFVYQI}

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

Bias-tailored single-shot quantum LDPC codes

Receipt and verification

First computed	2026-05-18T01:31:19.342525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf12441fd2babb53d59d4974c96b882244b45e56668251dbb68c68167f4e084

Aliases

arxiv: 1301.1363 · arxiv_version: 1301.1363v2 · doi: 10.48550/arxiv.1301.1363 · pith_short_12: TPYSIQP5FOV3 · pith_short_16: TPYSIQP5FOV3KPKZ · pith_short_8: TPYSIQP5

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/TPYSIQP5FOV3KPKZ2SLUZFVYQI \
  | 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: 9bf12441fd2babb53d59d4974c96b882244b45e56668251dbb68c68167f4e084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927620ae1e6b2f3bec9574b04b051f51aad98f8a9b9918b9abb71a1264026979",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-07T22:26:01Z",
    "title_canon_sha256": "9a824687ab43c9748ef2c45e502636b5852ea5c24d8662de9957fa8bf826e268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1363",
    "kind": "arxiv",
    "version": 2
  }
}