Pith Number

pith:V5VC7GFL

pith:2021:V5VC7GFLHIBG3JDZRMFBUX6RDU

not attested not anchored not stored refs pending

Quantum fluctuation in an inhomogeneous background and its influence on the phase transition in a finite volume system

Jia-rong Li, Song Shu, Xiaogang Li

arxiv:2108.12325 v2 · 2021-08-27 · hep-ph · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5VC7GFLHIBG3JDZRMFBUX6RDU}

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

Beyond Mean Field: Fluctuation Diagnostics and Fixed-Point Behavior

Receipt and verification

First computed	2026-07-05T04:18:01.231085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af6a2f98ab3a026da4798b0a1a5fd11d36a0ac9b0019e41e5d74ce3ed7037162

Aliases

arxiv: 2108.12325 · arxiv_version: 2108.12325v2 · doi: 10.48550/arxiv.2108.12325 · pith_short_12: V5VC7GFLHIBG · pith_short_16: V5VC7GFLHIBG3JDZ · pith_short_8: V5VC7GFL

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/V5VC7GFLHIBG3JDZRMFBUX6RDU \
  | 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: af6a2f98ab3a026da4798b0a1a5fd11d36a0ac9b0019e41e5d74ce3ed7037162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbde1214bca65485c1c72a85e7fb366f22ee58e5d1a4c5217fe5b51b572c4f28",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-08-27T14:58:30Z",
    "title_canon_sha256": "d393763773ba3fbe554b1ec6485fbe7dae722bbcbc6b4d81a5babcd64bde21b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12325",
    "kind": "arxiv",
    "version": 2
  }
}