Pith Number

pith:FWD7BSKD

pith:2008:FWD7BSKDAISZJXE5XSOYRGB3IO

not attested not anchored not stored refs pending

On Abstract Strichartz Estimates and the Strauss Conjecture for Nontrapping Obstacles

Christopher D. Sogge, Hart F. Smith, Jason Metcalfe, Kunio Hidano, Yi Zhou

arxiv:0805.1673 v2 · 2008-05-12 · 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{FWD7BSKDAISZJXE5XSOYRGB3IO}

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	2026-05-18T03:35:26.847226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d87f0c943022594dc9dbc9d88983b43a054a83a0f9dbe5b1616f5ce5c14036e

Aliases

arxiv: 0805.1673 · arxiv_version: 0805.1673v2 · doi: 10.48550/arxiv.0805.1673 · pith_short_12: FWD7BSKDAISZ · pith_short_16: FWD7BSKDAISZJXE5 · pith_short_8: FWD7BSKD

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/FWD7BSKDAISZJXE5XSOYRGB3IO \
  | 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: 2d87f0c943022594dc9dbc9d88983b43a054a83a0f9dbe5b1616f5ce5c14036e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c0deae8bbc424faad4e85adc25ed5858cd3950e95dc8eca38ed11cf7978060",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-05-12T15:54:53Z",
    "title_canon_sha256": "f224b960e5d88b8af3ed6b73c60886d6f420bfb738e389982949bfe443bf12d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1673",
    "kind": "arxiv",
    "version": 2
  }
}