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Pith Number

pith:3DIRRXHK

pith:2012:3DIRRXHKEN7IEMOVZRGESD4QED
not attested not anchored not stored refs pending

Thermodynamical Property of Entanglement Entropy for Excited States

Jyotirmoy Bhattacharya, Masahiro Nozaki, Tadashi Takayanagi, Tomonori Ugajin

arxiv:1212.1164 v1 · 2012-12-05 · hep-th · cond-mat.stat-mech · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3DIRRXHKEN7IEMOVZRGESD4QED}

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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

Receipt and verification
First computed 2026-05-18T03:31:08.935021Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d8d118dcea237e8231d5cc4c490f9020dda281257b549c19ae31cf05b72ab64f

Aliases

arxiv: 1212.1164 · arxiv_version: 1212.1164v1 · doi: 10.48550/arxiv.1212.1164 · pith_short_12: 3DIRRXHKEN7I · pith_short_16: 3DIRRXHKEN7IEMOV · pith_short_8: 3DIRRXHK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3DIRRXHKEN7IEMOVZRGESD4QED \
  | 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: d8d118dcea237e8231d5cc4c490f9020dda281257b549c19ae31cf05b72ab64f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "855516cc59323509a5289ebe80731c7de7778584861e40520f8513cebe80b274",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-05T21:00:05Z",
    "title_canon_sha256": "dd4b39c023b2564ef7c5ebb9c2d05531388e3968fbfe7d5117004d511cd6fbbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1164",
    "kind": "arxiv",
    "version": 1
  }
}