Pith Number

pith:UXQ2IG2O

pith:2026:UXQ2IG2OHY54VLZF6GFXMF3AQH

not attested not anchored not stored refs pending

Macroscopic statistical field from the spectral function of vacuum fluctuations and its gravitational implications

Jinku Guo

arxiv:2607.21621 v1 · 2026-06-24 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXQ2IG2OHY54VLZF6GFXMF3AQH}

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.

Cited by

1 paper in Pith

Coarse-Graining and the Classification of Long-Range Correlations in Quantum Field Theory

Receipt and verification

First computed	2026-07-27T00:20:11.566682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e1a41b4e3e3bcaaf25f18b76176081f2e146c022a578a78c64b38d9fb9ee81

Aliases

arxiv: 2607.21621 · arxiv_version: 2607.21621v1 · doi: 10.48550/arxiv.2607.21621 · pith_short_12: UXQ2IG2OHY54 · pith_short_16: UXQ2IG2OHY54VLZF · pith_short_8: UXQ2IG2O

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/UXQ2IG2OHY54VLZF6GFXMF3AQH \
  | 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: a5e1a41b4e3e3bcaaf25f18b76176081f2e146c022a578a78c64b38d9fb9ee81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe1f8477fb070367816665159868c90c64aaa6bff90fcdc76a9083c344778528",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-24T01:36:28Z",
    "title_canon_sha256": "ece8a179d524e718585ef08d4fa484ccb22a6997d766baae0aac161161e38b95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21621",
    "kind": "arxiv",
    "version": 1
  }
}