Pith Number

pith:VOVBQW4R

pith:2023:VOVBQW4R2KZFUZC5CSLP2OT5EY

not attested not anchored not stored refs pending

The QED four-photon amplitudes off-shell: part 2

Christian Schubert, Cristhiam Lopez-Arcos, Misha A. Lopez-Lopez, Naser Ahmadiniaz

arxiv:2303.12072 v1 · 2023-03-21 · hep-th · 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{VOVBQW4R2KZFUZC5CSLP2OT5EY}

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	2026-07-05T06:12:46.363580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abaa185b91d2b25a645d1496fd3a7d26291282a947e7445b1c309255c25b64cd

Aliases

arxiv: 2303.12072 · arxiv_version: 2303.12072v1 · doi: 10.48550/arxiv.2303.12072 · pith_short_12: VOVBQW4R2KZF · pith_short_16: VOVBQW4R2KZFUZC5 · pith_short_8: VOVBQW4R

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/VOVBQW4R2KZFUZC5CSLP2OT5EY \
  | 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: abaa185b91d2b25a645d1496fd3a7d26291282a947e7445b1c309255c25b64cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe79fa794bc730cf636ddd4467f53e2d2834c0f05fbd813c7b255e577400e4f5",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-03-21T17:58:30Z",
    "title_canon_sha256": "9e86b01bb1f584dab81b51be830c601a4be0b5d6a6affbababff3a519ceb81d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.12072",
    "kind": "arxiv",
    "version": 1
  }
}