Pith Number

pith:XX7FSBBP

pith:2026:XX7FSBBPQCWSJF3XN43CIWGEDZ

not attested not anchored not stored refs pending

The cosmology of long range Yukawa interactions in general backgrounds

Guillem Dom`enech, Panagiotis Giannadakis

arxiv:2606.28246 v1 · 2026-06-26 · 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{XX7FSBBPQCWSJF3XN43CIWGEDZ}

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	2026-06-29T01:15:10.310528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdfe59042f80ad2497776f362458c41e6b8e9d7bc4eb5f02287223fb01d73f30

Aliases

arxiv: 2606.28246 · arxiv_version: 2606.28246v1 · doi: 10.48550/arxiv.2606.28246 · pith_short_12: XX7FSBBPQCWS · pith_short_16: XX7FSBBPQCWSJF3X · pith_short_8: XX7FSBBP

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/XX7FSBBPQCWSJF3XN43CIWGEDZ \
  | 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: bdfe59042f80ad2497776f362458c41e6b8e9d7bc4eb5f02287223fb01d73f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35ee7d36be0d67077c33d47ba065abf8bf804914e45fb8ff52486995654b348f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-26T16:32:52Z",
    "title_canon_sha256": "c460f642578c7101e31087043fbf31e2fe74e5c08a3c3e635cba2044e7b3ca78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28246",
    "kind": "arxiv",
    "version": 1
  }
}