Pith. sign in
Pith Number

pith:QLM3QW2U

pith:2025:QLM3QW2ULKBPVSH5IIJKI2M7DE
not attested not anchored not stored refs pending

Analogous supercritical crossovers in black holes and water

Li Li, Shoucheng Wang, Xinyang Li, Yuliang Jin

arxiv:2506.10808 v1 · 2025-06-12 · gr-qc · cond-mat.stat-mech · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QLM3QW2ULKBPVSH5IIJKI2M7DE}

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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.

Cited by

5 papers in Pith

Receipt and verification
First computed 2026-07-05T11:20:30.890767Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

82d9b85b545a82fac8fd4212a4699f191e1664ffafbd9a452994cc80c63dc760

Aliases

arxiv: 2506.10808 · arxiv_version: 2506.10808v1 · doi: 10.48550/arxiv.2506.10808 · pith_short_12: QLM3QW2ULKBP · pith_short_16: QLM3QW2ULKBPVSH5 · pith_short_8: QLM3QW2U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QLM3QW2ULKBPVSH5IIJKI2M7DE \
  | 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: 82d9b85b545a82fac8fd4212a4699f191e1664ffafbd9a452994cc80c63dc760
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d49e2b4ae1b1a52427b8d263accfc166f26bb69cafeff8b0d81851a3c4769c95",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-12T15:24:13Z",
    "title_canon_sha256": "21065878da5ddb3503c3a000324a9cd6a4d27aec4caa67932094e81ee44faed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10808",
    "kind": "arxiv",
    "version": 1
  }
}