Pith Number

pith:SPMMLIPP

pith:2024:SPMMLIPP3SH72D7YXIEWKFZXA6

not attested not anchored not stored refs pending

To bounce or not to bounce in generalized Proca theory and beyond

Lara Bohnenblust, Lavinia Heisenberg, Nadine Nussbaumer, Serena Giardino

arxiv:2412.03977 v2 · 2024-12-05 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPMMLIPP3SH72D7YXIEWKFZXA6}

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	2026-07-05T10:19:31.959948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d8c5a1efdc8ffd0ff8ba0965173707b3d27c38c5da320b365c96e70cd9f6d8

Aliases

arxiv: 2412.03977 · arxiv_version: 2412.03977v2 · doi: 10.48550/arxiv.2412.03977 · pith_short_12: SPMMLIPP3SH7 · pith_short_16: SPMMLIPP3SH72D7Y · pith_short_8: SPMMLIPP

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/SPMMLIPP3SH72D7YXIEWKFZXA6 \
  | 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: 93d8c5a1efdc8ffd0ff8ba0965173707b3d27c38c5da320b365c96e70cd9f6d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b4d0e70c39182f3dcbad00998348b5d91bab7574622d87ad501e7086b59014",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-05T08:53:18Z",
    "title_canon_sha256": "ab737da6e77b0bf52a84873a13b1fe159d4f6dcfa2aa07f8d55e4e8bb8998a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03977",
    "kind": "arxiv",
    "version": 2
  }
}