Pith Number

pith:DA7QV65B

pith:2014:DA7QV65BGAS7OVQZQX77Q7PHPK

not attested not anchored not stored refs pending

Quantitative decay rates for dispersive solutions to the Einstein-scalar field system in spherical symmetry

Jonathan Luk, Sung-Jin Oh

arxiv:1402.2984 v3 · 2014-02-12 · gr-qc · math-ph · math.AP · 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{DA7QV65BGAS7OVQZQX77Q7PHPK}

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	2026-05-18T01:22:24.356435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

183f0afba13025f7561985fff87de77ab259da868e772d641ff2fbacf9339572

Aliases

arxiv: 1402.2984 · arxiv_version: 1402.2984v3 · doi: 10.48550/arxiv.1402.2984 · pith_short_12: DA7QV65BGAS7 · pith_short_16: DA7QV65BGAS7OVQZ · pith_short_8: DA7QV65B

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/DA7QV65BGAS7OVQZQX77Q7PHPK \
  | 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: 183f0afba13025f7561985fff87de77ab259da868e772d641ff2fbacf9339572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90315806dae9274da3fea03a7366b1bc593dea3db3b8a321a62c57c0779c3fed",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-02-12T21:04:31Z",
    "title_canon_sha256": "8160cdaeba69fa66d35fc330085752f0d821b813530b15968533c12a19f82a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2984",
    "kind": "arxiv",
    "version": 3
  }
}