Pith Number

pith:HHZ4FMD4

pith:2011:HHZ4FMD4X3IAJS5JOZ4U43K24Y

not attested not anchored not stored refs pending

The Branch Cut and Quasi-normal Modes at Large Imaginary Frequency in Schwarzschild Space-time

Adrian C. Ottewill, Marc Casals

arxiv:1112.2695 v2 · 2011-12-12 · 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{HHZ4FMD4X3IAJS5JOZ4U43K24Y}

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

3 papers in Pith

Dynamical quasinormal mode excitation II: propagation and convergence in Schwarzschild

Ringdown and echoes from compact objects: Debye series and Debye quasinormal modes

Prompt Response from Plunging Sources in Schwarzschild Spacetime

Receipt and verification

First computed	2026-05-18T03:22:54.181459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f3c2b07cbed004cba976794e6d5ae60d071a8dfda654161b590b77b7c82d35

Aliases

arxiv: 1112.2695 · arxiv_version: 1112.2695v2 · doi: 10.48550/arxiv.1112.2695 · pith_short_12: HHZ4FMD4X3IA · pith_short_16: HHZ4FMD4X3IAJS5J · pith_short_8: HHZ4FMD4

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/HHZ4FMD4X3IAJS5JOZ4U43K24Y \
  | 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: 39f3c2b07cbed004cba976794e6d5ae60d071a8dfda654161b590b77b7c82d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f3fe71712214f6f694a41a6421102f12f5f941d9929870186715ad697cb668",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-12T20:58:05Z",
    "title_canon_sha256": "8bd1430f9ca5e02f30ba57ce70085c47f9a20ac68a8634a519c9b5944d61207e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2695",
    "kind": "arxiv",
    "version": 2
  }
}