Pith Number

pith:ES5RORW5

pith:2026:ES5RORW55VVXVC6LM7FQP5Q2M3

not attested not anchored not stored refs pending

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

Jinku Guo

arxiv:2608.01989 v1 · 2026-08-03 · hep-th · 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{ES5RORW55VVXVC6LM7FQP5Q2M3}

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	2026-08-04T02:10:27.006461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24bb1746dded6b7a8bcb67cb07f61a66f2d46fec7908168c3699271df2b9103a

Aliases

arxiv: 2608.01989 · arxiv_version: 2608.01989v1 · doi: 10.48550/arxiv.2608.01989 · pith_short_12: ES5RORW55VVX · pith_short_16: ES5RORW55VVXVC6L · pith_short_8: ES5RORW5

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/ES5RORW55VVXVC6LM7FQP5Q2M3 \
  | 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: 24bb1746dded6b7a8bcb67cb07f61a66f2d46fec7908168c3699271df2b9103a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49763d2ecf4b6d5886de26a75d4019a2d13c1a0a08bc294d775c837bb80177c3",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-03T09:50:42Z",
    "title_canon_sha256": "1d6bf20ae4bb65cce92d9d6c297b8912777d9724c5b90c8999d2eff6bcc59ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01989",
    "kind": "arxiv",
    "version": 1
  }
}