Pith Number

pith:F6OIOUG7

pith:2008:F6OIOUG7GABMSQVGREEG3IUZWI

not attested not anchored not stored refs pending

Strichartz estimates for the wave equation on manifolds with boundary

Christopher D. Sogge, Hart F. Smith, Matthew D. Blair

arxiv:0805.4733 v3 · 2008-05-30 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6OIOUG7GABMSQVGREEG3IUZWI}

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	2026-05-18T02:15:52.120557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f9c8750df3002c942a689086da299b23c9188029721fc16811b7bd7066386ba

Aliases

arxiv: 0805.4733 · arxiv_version: 0805.4733v3 · doi: 10.48550/arxiv.0805.4733 · pith_short_12: F6OIOUG7GABM · pith_short_16: F6OIOUG7GABMSQVG · pith_short_8: F6OIOUG7

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/F6OIOUG7GABMSQVGREEG3IUZWI \
  | 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: 2f9c8750df3002c942a689086da299b23c9188029721fc16811b7bd7066386ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0b041933a7bd2a447b03ffdeec0fbcf1388e738ebf5fe41488f0d49719760a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-05-30T13:44:43Z",
    "title_canon_sha256": "966070b98c5da6f38ada62f97431824600dd2cf8f2e92b4d9046ad3d048e32e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.4733",
    "kind": "arxiv",
    "version": 3
  }
}