Pith Number

pith:4ICQNQAT

pith:2023:4ICQNQATIC32YEVBWD65PNH6QG

not attested not anchored not stored refs pending

Low-energy limit of N-photon amplitudes in a constant field

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

arxiv:2312.07047 v1 · 2023-12-12 · 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{4ICQNQATIC32YEVBWD65PNH6QG}

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	2026-07-05T07:23:14.009947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20506c01340b7ac12a1b0fdd7b4fe8184377f337a600e819027fe421672bfea

Aliases

arxiv: 2312.07047 · arxiv_version: 2312.07047v1 · doi: 10.48550/arxiv.2312.07047 · pith_short_12: 4ICQNQATIC32 · pith_short_16: 4ICQNQATIC32YEVB · pith_short_8: 4ICQNQAT

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/4ICQNQATIC32YEVBWD65PNH6QG \
  | 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: e20506c01340b7ac12a1b0fdd7b4fe8184377f337a600e819027fe421672bfea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25da9327b8de6074207c010fa345df5abe1f45ddbcf85c9fa8514b81ce7a4a6",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-12-12T08:00:04Z",
    "title_canon_sha256": "3f91049cc12d54b9c64c850f49bdee45a1ec21b52ec0e50c3fb9906531336c8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07047",
    "kind": "arxiv",
    "version": 1
  }
}