Pith Number

pith:DMYLAQGM

pith:2025:DMYLAQGMXQDNEXHK6KU6RC4Q7J

not attested not anchored not stored refs pending

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory

Jun Wang, Li Wang, Yong-Long Wang

arxiv:2512.06605 v2 · 2025-12-07 · physics.optics · gr-qc · math-ph · math.MP · 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{DMYLAQGMXQDNEXHK6KU6RC4Q7J}

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	2026-07-24T01:23:02.486894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b30b040ccbc06d25ceaf2a9e88b90fa4e0194a2bbbce23b5fece67788013cba

Aliases

arxiv: 2512.06605 · arxiv_version: 2512.06605v2 · doi: 10.48550/arxiv.2512.06605 · pith_short_12: DMYLAQGMXQDN · pith_short_16: DMYLAQGMXQDNEXHK · pith_short_8: DMYLAQGM

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/DMYLAQGMXQDNEXHK6KU6RC4Q7J \
  | 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: 1b30b040ccbc06d25ceaf2a9e88b90fa4e0194a2bbbce23b5fece67788013cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b653f50f8afcb651c18606ca7611bc861105943df25e389bd2ec7b29ae4de64b",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-12-07T00:32:21Z",
    "title_canon_sha256": "cc32dfcbbb595bff5756045641e9fbce4f1809407b01c9044ee0926f03706016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.06605",
    "kind": "arxiv",
    "version": 2
  }
}