Pith Number

pith:ILKJXZU3

pith:2011:ILKJXZU3VVCASIO4PD3JYD5P4Z

not attested not anchored not stored refs pending

The entanglement entropy of 1D systems in continuous and homogenous space

Ettore Vicari, Mihail Mintchev, Pasquale Calabrese

arxiv:1107.3985 v2 · 2011-07-20 · cond-mat.stat-mech · hep-th · 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{ILKJXZU3VVCASIO4PD3JYD5P4Z}

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	2026-05-18T02:01:14.276506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d49be69bad440921dc78f69c0fafe67018e3cc546a493bad2d45c8683e5f9f

Aliases

arxiv: 1107.3985 · arxiv_version: 1107.3985v2 · doi: 10.48550/arxiv.1107.3985 · pith_short_12: ILKJXZU3VVCA · pith_short_16: ILKJXZU3VVCASIO4 · pith_short_8: ILKJXZU3

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/ILKJXZU3VVCASIO4PD3JYD5P4Z \
  | 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: 42d49be69bad440921dc78f69c0fafe67018e3cc546a493bad2d45c8683e5f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c40190563c4b8330b6f065d84a63946cc34bcdc57178b4e887a4813091b213b",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-20T14:05:27Z",
    "title_canon_sha256": "616cf631ca27f13590da9d6ec2701e9cfe7b3c5c9e102e34847c28ccf8a9a91e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3985",
    "kind": "arxiv",
    "version": 2
  }
}