Pith Number

pith:KGV536OK

pith:2011:KGV536OKNX36V4MD74IZLSP23M

not attested not anchored not stored refs pending

Topological Order at Non-zero Temperature

M. B. Hastings

arxiv:1106.6026 v2 · 2011-06-29 · 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{KGV536OKNX36V4MD74IZLSP23M}

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

Quantized topological invariant of symmetry-projected Gibbs states

Receipt and verification

First computed	2026-05-18T03:23:23.726451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51abddf9ca6df7eaf183ff1195c9fadb33e05eb3239f99afbcaa4fe955a36459

Aliases

arxiv: 1106.6026 · arxiv_version: 1106.6026v2 · doi: 10.48550/arxiv.1106.6026 · pith_short_12: KGV536OKNX36 · pith_short_16: KGV536OKNX36V4MD · pith_short_8: KGV536OK

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/KGV536OKNX36V4MD74IZLSP23M \
  | 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: 51abddf9ca6df7eaf183ff1195c9fadb33e05eb3239f99afbcaa4fe955a36459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "963fc5f8f9cf8210fcebc6a30a889f82dbe9f6c8bdfa3f85b1e9997ab1abf79c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-06-29T19:00:20Z",
    "title_canon_sha256": "e47300492859485064a10227673ff7b3f1b78811c30d2b5ee9293f8585476c04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6026",
    "kind": "arxiv",
    "version": 2
  }
}