Pith. sign in
Pith Number

pith:SGTU7CQJ

pith:2021:SGTU7CQJN4K43EHDJ7R3JUJYMA
not attested not anchored not stored refs pending

Quantum statistics effects near the critical point in systems with different inter-particle interactions

A.G. Magner, S.N. Fedotkin, U.V. Grygoriev

arxiv:2112.13704 v1 · 2021-12-27 · nucl-th · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SGTU7CQJN4K43EHDJ7R3JUJYMA}

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 2026-07-05T04:04:00.453265Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

91a74f8a096f15cd90e34fe3b4d138602c070d1b9b3d76c8ed2eceb148054742

Aliases

arxiv: 2112.13704 · arxiv_version: 2112.13704v1 · doi: 10.48550/arxiv.2112.13704 · pith_short_12: SGTU7CQJN4K4 · pith_short_16: SGTU7CQJN4K43EHD · pith_short_8: SGTU7CQJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SGTU7CQJN4K43EHDJ7R3JUJYMA \
  | 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: 91a74f8a096f15cd90e34fe3b4d138602c070d1b9b3d76c8ed2eceb148054742
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "902645401074f900a9fc6a02332dca128dfe5a0ab4005e943a7df6fc2ead65c5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2021-12-27T14:27:33Z",
    "title_canon_sha256": "ee7b593e278e175ea85e5151bad81309fc730d0ecdedafbda06f8ced52902fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13704",
    "kind": "arxiv",
    "version": 1
  }
}