Pith Number

pith:HJGPKKTE

pith:2016:HJGPKKTE7IL2EUOKKSLGLLTBM6

not attested not anchored not stored refs pending

Renormalization of trace distance and multipartite entanglement close to the quantum phase transitions of one- and two-dimensional spin-chain systems

Jing-Bo Xu, Wei Wu

arxiv:1609.08735 v1 · 2016-09-28 · 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{HJGPKKTE7IL2EUOKKSLGLLTBM6}

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	2026-05-18T01:03:42.051504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4cf52a64fa17a251ca549665ae6167be8e381af64c04d5c5d5532047791b32

Aliases

arxiv: 1609.08735 · arxiv_version: 1609.08735v1 · doi: 10.48550/arxiv.1609.08735 · pith_short_12: HJGPKKTE7IL2 · pith_short_16: HJGPKKTE7IL2EUOK · pith_short_8: HJGPKKTE

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/HJGPKKTE7IL2EUOKKSLGLLTBM6 \
  | 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: 3a4cf52a64fa17a251ca549665ae6167be8e381af64c04d5c5d5532047791b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2e96fedadf29fc3db2ae119f040d67a57d81d0ad4bf69a437adf684691b6e6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-28T02:15:48Z",
    "title_canon_sha256": "d319c8ee43a97f10863e7e14ead0a3ea4342656dfab8c7a09e9d89f763168fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08735",
    "kind": "arxiv",
    "version": 1
  }
}