Pith Number

pith:ZSJTELCX

pith:2024:ZSJTELCXUQGDGYTMXMMBMGZU7E

not attested not anchored not stored refs pending

Overdamped QNM for Schwarzschild black holes

Maciej Zworski, Michael Hitrik

arxiv:2406.15924 v3 · 2024-06-22 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSJTELCXUQGDGYTMXMMBMGZU7E}

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

1 paper in Pith

Bohr--Sommerfeld rules for systems

Receipt and verification

First computed	2026-07-05T11:04:38.028721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc93322c57a40c33626cbb18161b34f907f6813e01089aa51b4463f7eb16e46e

Aliases

arxiv: 2406.15924 · arxiv_version: 2406.15924v3 · doi: 10.48550/arxiv.2406.15924 · pith_short_12: ZSJTELCXUQGD · pith_short_16: ZSJTELCXUQGDGYTM · pith_short_8: ZSJTELCX

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/ZSJTELCXUQGDGYTMXMMBMGZU7E \
  | 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: cc93322c57a40c33626cbb18161b34f907f6813e01089aa51b4463f7eb16e46e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a519b269d99ff879459c877b540ccfa34af1efaa07c9b1fe88dfeb839f31286",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-06-22T19:25:49Z",
    "title_canon_sha256": "1da4207a8e4a3416ce2a53a789387d1d27edb27a9f5af70dae906690ad68a0cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.15924",
    "kind": "arxiv",
    "version": 3
  }
}