Pith Number

pith:WW53YXXZ

pith:2025:WW53YXXZTT6JTP4GFJ2UDF7NEV

not attested not anchored not stored refs pending

Pseudospectrum and (in)stability of black hole total transmission modes

Liang-Bi Wu, Li-Ming Cao, Ming-Fei Ji, Yu-Sen Zhou

arxiv:2512.16372 v2 · 2025-12-18 · 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{WW53YXXZTT6JTP4GFJ2UDF7NEV}

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

Total transmission modes in draining bathtub model with vorticity

Receipt and verification

First computed	2026-06-09T02:07:15.729689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5bbbc5ef99cfc99bf862a754197ed256f2e51bb0ec4e392324d054abc317c85

Aliases

arxiv: 2512.16372 · arxiv_version: 2512.16372v2 · doi: 10.48550/arxiv.2512.16372 · pith_short_12: WW53YXXZTT6J · pith_short_16: WW53YXXZTT6JTP4G · pith_short_8: WW53YXXZ

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/WW53YXXZTT6JTP4GFJ2UDF7NEV \
  | 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: b5bbbc5ef99cfc99bf862a754197ed256f2e51bb0ec4e392324d054abc317c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fa3cc520e14b4cb4ca4a203acc24b196e03aaf22fef73fee25a0a3c49bc67ac",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-18T10:11:41Z",
    "title_canon_sha256": "3f5852870cf2491ab2587589059c7a7430bb25be1e833d86557386c0a5bd00ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16372",
    "kind": "arxiv",
    "version": 2
  }
}