Pith Number

pith:SX26APHK

pith:2007:SX26APHKZ6QDHN4SX3IRBZZOJ7

not attested not anchored not stored refs pending

Entanglement and topological entropy of the toric code at finite temperature

(2) Boston University), C. Castelnovo (1), C. Chamon (2) ((1) Oxford University

arxiv:0704.3616 v2 · 2007-04-27 · cond-mat.str-el · 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{SX26APHKZ6QDHN4SX3IRBZZOJ7}

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	2026-07-04T15:05:55.863997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f5e03ceacfa033b792bed110e72e4fccc6d0dee38120f6166d5a81eb3ec8f5

Aliases

arxiv: 0704.3616 · arxiv_version: 0704.3616v2 · doi: 10.48550/arxiv.0704.3616 · pith_short_12: SX26APHKZ6QD · pith_short_16: SX26APHKZ6QDHN4S · pith_short_8: SX26APHK

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/SX26APHKZ6QDHN4SX3IRBZZOJ7 \
  | 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: 95f5e03ceacfa033b792bed110e72e4fccc6d0dee38120f6166d5a81eb3ec8f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9bfb11d58405c3ce4cac06e2c43e6a50538b84b13f73169f8b60c4bf2dc812d",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2007-04-27T01:56:24Z",
    "title_canon_sha256": "6ff7d4da796b4ff8bea40720c14b47bd44fb625306c199d3879d7e40c52d2f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3616",
    "kind": "arxiv",
    "version": 2
  }
}