Pith Number

pith:76UYOOYP

pith:2026:76UYOOYP552GYXB3PX7S22NZ3P

not attested not anchored not stored refs pending

Hadronic photon correction to $\gamma^{\ast} \gamma \to f_{2}(1270)$ at next-to-leading order

Bing-Xin Liu, Shen-Qiang Ren

arxiv:2608.08054 v1 · 2026-08-08 · hep-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{76UYOOYP552GYXB3PX7S22NZ3P}

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	2026-08-11T01:21:33.528896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa9873b0fef746c5c3b7dff2d69b9dbdac8a1268381ec7a770fd7bc4614b4b8

Aliases

arxiv: 2608.08054 · arxiv_version: 2608.08054v1 · doi: 10.48550/arxiv.2608.08054 · pith_short_12: 76UYOOYP552G · pith_short_16: 76UYOOYP552GYXB3 · pith_short_8: 76UYOOYP

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/76UYOOYP552GYXB3PX7S22NZ3P \
  | 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: ffa9873b0fef746c5c3b7dff2d69b9dbdac8a1268381ec7a770fd7bc4614b4b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de88d77e0763f08afb6d0edbfa42ebb42b25d7b6e27c5e5deeb0cbd00e25e77b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-08-08T10:40:58Z",
    "title_canon_sha256": "c1e0fc37bf15df0c58cb6e59aaf5175d3a2363d5672095771ca32ce0817dd0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08054",
    "kind": "arxiv",
    "version": 1
  }
}