Pith Number

pith:Q2JD27YA

pith:2016:Q2JD27YANN5JKRK6O6UBSY5N2D

not attested not anchored not stored refs pending

Thermal entanglement properties of N-qubit quantum Heisenberg chain in a two-component magnetic field

Erol Vatansever, Umit Akinci, Yusuf Yuksel

arxiv:1608.08403 v1 · 2016-08-30 · cond-mat.stat-mech · 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{Q2JD27YANN5JKRK6O6UBSY5N2D}

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	2026-05-18T01:06:25.056328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86923d7f006b7a95455e77a81963add0fafa9c6541c1ddc593f358e4cbd4e749

Aliases

arxiv: 1608.08403 · arxiv_version: 1608.08403v1 · doi: 10.48550/arxiv.1608.08403 · pith_short_12: Q2JD27YANN5J · pith_short_16: Q2JD27YANN5JKRK6 · pith_short_8: Q2JD27YA

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/Q2JD27YANN5JKRK6O6UBSY5N2D \
  | 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: 86923d7f006b7a95455e77a81963add0fafa9c6541c1ddc593f358e4cbd4e749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e652b6417b86d6125a5a702151b62d66e4225813f0fdec90e794e7868aba7221",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-08-30T11:27:57Z",
    "title_canon_sha256": "b42053e18eead29828e44f98db95992fa9e39685dc9d08825c9bc461b9a0a1d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08403",
    "kind": "arxiv",
    "version": 1
  }
}