Pith Number

pith:ECAOVG45

pith:2016:ECAOVG45YWIJVOJGIG3L5EI64J

not attested not anchored not stored refs pending

Avalanche of entanglement and correlations at quantum phase transitions

Andreas Osterloh, Konstantin V. Krutitsky, Ralf Sch\"utzhold

arxiv:1607.06616 v1 · 2016-07-22 · 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{ECAOVG45YWIJVOJGIG3L5EI64J}

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	2026-05-18T01:10:39.456194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2080ea9b9dc5909ab92641b6be911ee2608819dc9915dc615add59ab5cb06df4

Aliases

arxiv: 1607.06616 · arxiv_version: 1607.06616v1 · doi: 10.48550/arxiv.1607.06616 · pith_short_12: ECAOVG45YWIJ · pith_short_16: ECAOVG45YWIJVOJG · pith_short_8: ECAOVG45

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/ECAOVG45YWIJVOJGIG3L5EI64J \
  | 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: 2080ea9b9dc5909ab92641b6be911ee2608819dc9915dc615add59ab5cb06df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67741e365245650f6e65333e59f5dee3ba153d197324a0b459256c757be54e6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-22T09:48:22Z",
    "title_canon_sha256": "f7a47610043d8dcbe06eaf605d894e88dfd08b8c3b2eefc357230bfab72581ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06616",
    "kind": "arxiv",
    "version": 1
  }
}