Pith Number

pith:ACFBNGAP

pith:2020:ACFBNGAP4O2B6ZVTNH4VIDY5MH

not attested not anchored not stored refs pending

Quantum Phase Transitions in Long-Range Interacting Hyperuniform Spin Chains in a Transverse Field

Amartya Bose, Salvatore Torquato

arxiv:2012.06545 v2 · 2020-12-11 · quant-ph · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACFBNGAP4O2B6ZVTNH4VIDY5MH}

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	2026-07-05T02:12:14.183407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008a16980fe3b41f66b369f9540f1d61c5ac451d388afe5cb89f10e8ee98bd8b

Aliases

arxiv: 2012.06545 · arxiv_version: 2012.06545v2 · doi: 10.48550/arxiv.2012.06545 · pith_short_12: ACFBNGAP4O2B · pith_short_16: ACFBNGAP4O2B6ZVT · pith_short_8: ACFBNGAP

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/ACFBNGAP4O2B6ZVTNH4VIDY5MH \
  | 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: 008a16980fe3b41f66b369f9540f1d61c5ac451d388afe5cb89f10e8ee98bd8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0446da0d288f9b51d288f83684d0dcfd7bcc38c0762e8113b23e6856dccb8ac5",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-12-11T18:21:50Z",
    "title_canon_sha256": "686a522a7bd27a583bcffb49d047b898566faa3d0f1a4498b0737ab0f9bb2a21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06545",
    "kind": "arxiv",
    "version": 2
  }
}