Pith Number

pith:HSUIWBGI

pith:2026:HSUIWBGIJJILGTOLTNRUEBT7MK

not attested not anchored not stored refs pending

Gravitational Vacuum Polarization: Decoupling and the Conformal Anomaly

Emil Mottola

arxiv:2607.18180 v1 · 2026-07-20 · 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{HSUIWBGIJJILGTOLTNRUEBT7MK}

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	2026-07-21T02:22:26.313148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca88b04c84a50b34dcb9b6342067f629bf76d3b3372d09a569c569e9e55701a

Aliases

arxiv: 2607.18180 · arxiv_version: 2607.18180v1 · doi: 10.48550/arxiv.2607.18180 · pith_short_12: HSUIWBGIJJIL · pith_short_16: HSUIWBGIJJILGTOL · pith_short_8: HSUIWBGI

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/HSUIWBGIJJILGTOLTNRUEBT7MK \
  | 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: 3ca88b04c84a50b34dcb9b6342067f629bf76d3b3372d09a569c569e9e55701a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da99eb3b81973c659295210578c5339178bcc6a2c560d50be3a9f11c9629a1fb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-20T17:16:44Z",
    "title_canon_sha256": "6ca7b0aee72c00452b0c6f6356b4cbf3899b4729dc3495fea5f5eeeae89462c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18180",
    "kind": "arxiv",
    "version": 1
  }
}