Pith Number

pith:E35SBOKC

pith:2003:E35SBOKCNNXAMDXECA4NA6VPDV

not attested not anchored not stored refs pending

Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates

A. Soffer, P. Blue

arxiv:gr-qc/0310091 v2 · 2003-10-19 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E35SBOKCNNXAMDXECA4NA6VPDV}

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

On turbulence for spacetimes with stable trapping

Receipt and verification

First computed	2026-07-04T14:49:39.337331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26fb20b9426b6e060ee41038d07aaf1d4b5deb5eaf2ef36af48c453d476cb517

Aliases

arxiv: gr-qc/0310091 · arxiv_version: gr-qc/0310091v2 · doi: 10.48550/arxiv.gr-qc/0310091 · pith_short_12: E35SBOKCNNXA · pith_short_16: E35SBOKCNNXAMDXE · pith_short_8: E35SBOKC

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/E35SBOKCNNXAMDXECA4NA6VPDV \
  | 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: 26fb20b9426b6e060ee41038d07aaf1d4b5deb5eaf2ef36af48c453d476cb517

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619f37fe8410665015b767e63fecbd079388bf726332fe57e6a7eba837a791ad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-10-19T16:33:17Z",
    "title_canon_sha256": "b3f48b40bb6c1e059d90ca7c343f36ba27309cb83da64e50913f2a12d2b22237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0310091",
    "kind": "arxiv",
    "version": 2
  }
}