Pith Number

pith:3ACASDDF

pith:2009:3ACASDDFI4XRRYF6SF4FDZWYJM

not attested not anchored not stored refs pending

On pointwise decay of linear waves on a Schwarzschild black hole background

Avy Soffer, Roland Donninger, Wilhelm Schlag

arxiv:0911.3179 v3 · 2009-11-16 · math.AP · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ACASDDFI4XRRYF6SF4FDZWYJM}

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	2026-05-18T04:03:17.783494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d804090c65472f18e0be917851e6d84b22dad71d829799388c176c207f0ebaa5

Aliases

arxiv: 0911.3179 · arxiv_version: 0911.3179v3 · doi: 10.48550/arxiv.0911.3179 · pith_short_12: 3ACASDDFI4XR · pith_short_16: 3ACASDDFI4XRRYF6 · pith_short_8: 3ACASDDF

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/3ACASDDFI4XRRYF6SF4FDZWYJM \
  | 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: d804090c65472f18e0be917851e6d84b22dad71d829799388c176c207f0ebaa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "febd987bd8af79f2c481cecbb20de11b56bc45e46444d5c21c8253be95f7eb87",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-11-16T23:04:34Z",
    "title_canon_sha256": "6a95e7c2b2fb4f0048bace00359e5dbd840ff6756c7d291963e6c817389b7e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3179",
    "kind": "arxiv",
    "version": 3
  }
}