Pith Number

pith:5JWJQ2GG

pith:2021:5JWJQ2GGCGRD4QILQOX2TUTUQT

not attested not anchored not stored refs pending

Light bending from eikonal in worldline quantum field theory

Fiorenzo Bastianelli, Francesco Comberiati, Leonardo de la Cruz

arxiv:2112.05013 v2 · 2021-12-09 · 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{5JWJQ2GGCGRD4QILQOX2TUTUQT}

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.

Cited by

4 papers in Pith

Wave-optics gravitational wave lensing in modified gravity

A Runway to Dissipation of Angular Momentum via Worldline Quantum Field Theory

Black Hole Response Theory and its Exact Shockwave Limit

$\xi R\phi^2$ non-minimal coupling, and the long range gravitational potential for different spin fields from 2-2 scattering amplitudes

Receipt and verification

First computed	2026-07-05T04:03:59.241486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6c9868c611a23e410b83afa9d27484f8288e5d10a2421bec87d2f3e96c3bbf

Aliases

arxiv: 2112.05013 · arxiv_version: 2112.05013v2 · doi: 10.48550/arxiv.2112.05013 · pith_short_12: 5JWJQ2GGCGRD · pith_short_16: 5JWJQ2GGCGRD4QIL · pith_short_8: 5JWJQ2GG

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/5JWJQ2GGCGRD4QILQOX2TUTUQT \
  | 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: ea6c9868c611a23e410b83afa9d27484f8288e5d10a2421bec87d2f3e96c3bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55bdb415e547c4de431d03003547dda6a920ffb95f66b234406f34447180c84a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-09T16:11:09Z",
    "title_canon_sha256": "641c18cda5fdcda5d4413a7d24641ca7be6429f4fc809bb44cff8e755499e21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05013",
    "kind": "arxiv",
    "version": 2
  }
}