Pith Number

pith:ZO6KZFLS

pith:2025:ZO6KZFLS7BNNJUETLET2EUXTD2

not attested not anchored not stored refs pending

Macroscopic backreaction of the trace anomaly on classical vacuum backgrounds

Francesco Di Filippo, Kazumasa Okabayashi, Ra\'ul Carballo-Rubio, Shinji Mukohyama

arxiv:2512.10710 v2 · 2025-12-11 · gr-qc · hep-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{ZO6KZFLS7BNNJUETLET2EUXTD2}

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	2026-06-09T01:05:11.618916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbcac9572f85ad4d0935927a252f31eacc426ffaba8cd234b97e80fb99ebab9

Aliases

arxiv: 2512.10710 · arxiv_version: 2512.10710v2 · doi: 10.48550/arxiv.2512.10710 · pith_short_12: ZO6KZFLS7BNN · pith_short_16: ZO6KZFLS7BNNJUET · pith_short_8: ZO6KZFLS

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/ZO6KZFLS7BNNJUETLET2EUXTD2 \
  | 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: cbbcac9572f85ad4d0935927a252f31eacc426ffaba8cd234b97e80fb99ebab9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "207e14ecda3b1bd371b8f4c78208a4fa4f8b510ebcef3d6129dbf2d60025a1a9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-11T14:48:23Z",
    "title_canon_sha256": "1a2b971ddb5c42d5d030dee81f77787967fadb5b972893847bf7141b0e550a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.10710",
    "kind": "arxiv",
    "version": 2
  }
}