Pith Number

pith:WIXSG4P2

pith:2008:WIXSG4P2PNNQR576T6YU3Y6QQ6

not attested not anchored not stored refs pending

Strichartz estimates on Schwarzschild black hole backgrounds

Daniel Tataru, Jason Metcalfe, Jeremy Marzuola, Mihai Tohaneanu

arxiv:0802.3942 v3 · 2008-02-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIXSG4P2PNNQR576T6YU3Y6QQ6}

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	2026-05-18T02:16:00.815580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22f2371fa7b5b08f7fe9fb14de3d087a0e2726ea300a1b7799a08fb936064fc

Aliases

arxiv: 0802.3942 · arxiv_version: 0802.3942v3 · doi: 10.48550/arxiv.0802.3942 · pith_short_12: WIXSG4P2PNNQ · pith_short_16: WIXSG4P2PNNQR576 · pith_short_8: WIXSG4P2

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/WIXSG4P2PNNQR576T6YU3Y6QQ6 \
  | 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: b22f2371fa7b5b08f7fe9fb14de3d087a0e2726ea300a1b7799a08fb936064fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6e5ffbb7c305866a7e63190ed0a7e9126bc8552be9228d9f9ecb0a7519e36e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-02-27T01:53:48Z",
    "title_canon_sha256": "dec586b927d5fc6b5a242418d1884858837c3ca34ec9c14fcba62c2549895d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3942",
    "kind": "arxiv",
    "version": 3
  }
}