Pith Number

pith:7ESH3ZZF

pith:2009:7ESH3ZZFC3R7PWT5JYVM4WHFE6

not attested not anchored not stored refs pending

Decay estimates for the one-dimensional wave equation with an inverse power potential

Roland Donninger, Wilhelm Schlag

arxiv:0911.3174 v2 · 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{7ESH3ZZFC3R7PWT5JYVM4WHFE6}

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	2026-05-18T04:28:48.676268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9247de72516e3f7da7d4e2ace58e527b0e91a43baa55041cfcd724b01fd2f13

Aliases

arxiv: 0911.3174 · arxiv_version: 0911.3174v2 · doi: 10.48550/arxiv.0911.3174 · pith_short_12: 7ESH3ZZFC3R7 · pith_short_16: 7ESH3ZZFC3R7PWT5 · pith_short_8: 7ESH3ZZF

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/7ESH3ZZFC3R7PWT5JYVM4WHFE6 \
  | 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: f9247de72516e3f7da7d4e2ace58e527b0e91a43baa55041cfcd724b01fd2f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b6617f55029029d234519fcd4509a749c67d1e3a59a210f0d409d62e7dd19b",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-11-16T22:15:18Z",
    "title_canon_sha256": "c9acf60cd9b9a309b84695569829b40908ccd2a25bc88500b934d9974f61325c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3174",
    "kind": "arxiv",
    "version": 2
  }
}