Pith Number

pith:CM675FRQ

pith:2021:CM675FRQKIQSSS56GOX3DALQRS

not attested not anchored not stored refs pending

Gravitational Causality and the Self-Stress of Photons

Brando Bellazzini, Francesco Sgarlata, Giulia Isabella, Matthew Lewandowski

arxiv:2108.05896 v3 · 2021-08-12 · 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{CM675FRQKIQSSS56GOX3DALQRS}

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

Probabilistic Causality from Graviton Fluctuations

Positivity with Long-Range Interactions

Negative running of gravitational positivity

On the Asymptotic Causal Structure in Gravitational EFTs

Receipt and verification

First computed	2026-07-05T04:29:50.842689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133dfe96305221294bbe33afb181708cb1d7b3f9bc8c8236f416fad9d8d539e3

Aliases

arxiv: 2108.05896 · arxiv_version: 2108.05896v3 · doi: 10.48550/arxiv.2108.05896 · pith_short_12: CM675FRQKIQS · pith_short_16: CM675FRQKIQSSS56 · pith_short_8: CM675FRQ

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/CM675FRQKIQSSS56GOX3DALQRS \
  | 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: 133dfe96305221294bbe33afb181708cb1d7b3f9bc8c8236f416fad9d8d539e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6fdcc674973add6cb474c088b1115b45a4c7232c1c11c82594d306369a875d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-08-12T18:00:00Z",
    "title_canon_sha256": "0b5d4926ec450cac316ac1f65298c5c86fae0347f1b926a257f82e74da68bd97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.05896",
    "kind": "arxiv",
    "version": 3
  }
}