Pith Number

pith:HHOO7RO3

pith:2022:HHOO7RO3BUC4UJLUJBHRO6MBHH

not attested not anchored not stored refs pending

Schwarzschild quasi-normal modes of non-minimally coupled vector fields

Aaron Held, Jun Zhang, Sebastian Garcia-Saenz

arxiv:2202.07131 v2 · 2022-02-15 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHOO7RO3BUC4UJLUJBHRO6MBHH}

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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

2 papers in Pith

Quasinormal modes of Proca and Maxwell fields in $d$-dimensional Schwarzschild-AdS black holes

No-go theorem for spontaneous vectorization

Receipt and verification

First computed	2026-07-05T04:29:55.241611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39dcefc5db0d05ca2574484f17798139d8c250d1651c8c6794ffa8fd953396a4

Aliases

arxiv: 2202.07131 · arxiv_version: 2202.07131v2 · doi: 10.48550/arxiv.2202.07131 · pith_short_12: HHOO7RO3BUC4 · pith_short_16: HHOO7RO3BUC4UJLU · pith_short_8: HHOO7RO3

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/HHOO7RO3BUC4UJLUJBHRO6MBHH \
  | 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: 39dcefc5db0d05ca2574484f17798139d8c250d1651c8c6794ffa8fd953396a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "021c64ff4db07661b42e2d6d51508e0e2f35fc42f4d14346cbe480f2e00d3a07",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-02-15T02:06:39Z",
    "title_canon_sha256": "67cf20343361786b81438be0b310eb27c29eca9baadd43c30458f6df3da614f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.07131",
    "kind": "arxiv",
    "version": 2
  }
}