Pith Number

pith:QLKJOJY5

pith:2016:QLKJOJY5DUP2ONORWSZR4YZW5S

not attested not anchored not stored refs pending

Holographic entanglement entropy close to crossover/phase transition in strongly coupled systems

Shao-Jun Zhang

arxiv:1608.03072 v3 · 2016-08-10 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLKJOJY5DUP2ONORWSZR4YZW5S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Holographic entanglement entropy in the QCD phase diagram under external magnetic field

Receipt and verification

First computed	2026-05-18T00:51:57.665943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d497271d1d1fa735d1b4b31e6336ecb79b6a35049e822b24fa7f16eb0c2d33

Aliases

arxiv: 1608.03072 · arxiv_version: 1608.03072v3 · doi: 10.48550/arxiv.1608.03072 · pith_short_12: QLKJOJY5DUP2 · pith_short_16: QLKJOJY5DUP2ONOR · pith_short_8: QLKJOJY5

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/QLKJOJY5DUP2ONORWSZR4YZW5S \
  | 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: 82d497271d1d1fa735d1b4b31e6336ecb79b6a35049e822b24fa7f16eb0c2d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d39c14e88b5d0ca4a4ca887b8129c183e9de44f5076336091aea6a526f8d6c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-08-10T07:59:58Z",
    "title_canon_sha256": "b98a861f4efa44ddd94fec71b2b73cbb95e7089dc5ff5fa4682e72954879fc1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03072",
    "kind": "arxiv",
    "version": 3
  }
}