Pith Number

pith:7AXY43ZN

pith:2025:7AXY43ZNBYISXESXZZHU6QIZSV

not attested not anchored not stored refs pending

Renormalizable quantum field theory in curved spacetime with external two-form field

Ilya L. Shapiro, Ioseph L. Buchbinder, Thomas M. Sangy

arxiv:2509.06916 v1 · 2025-09-08 · 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{7AXY43ZNBYISXESXZZHU6QIZSV}

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	2026-07-05T12:06:55.058602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f82f8e6f2d0e112b9257ce4f4f41199561e8290a304e8450b19d5d1d83ef679b

Aliases

arxiv: 2509.06916 · arxiv_version: 2509.06916v1 · doi: 10.48550/arxiv.2509.06916 · pith_short_12: 7AXY43ZNBYIS · pith_short_16: 7AXY43ZNBYISXESX · pith_short_8: 7AXY43ZN

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/7AXY43ZNBYISXESXZZHU6QIZSV \
  | 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: f82f8e6f2d0e112b9257ce4f4f41199561e8290a304e8450b19d5d1d83ef679b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca52637b488fd7b6dd87c2e5a7aee4a2127ac3405f280fb1396f3f2d9dc25b7d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-08T17:28:06Z",
    "title_canon_sha256": "784e550cddf54cd9d4ea05fbef87f56d9c43297e41e651424e09a0ce75229667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06916",
    "kind": "arxiv",
    "version": 1
  }
}