Pith Number

pith:YK5DTRMA

pith:2008:YK5DTRMAI534X5Q5HH67DD6ABO

not attested not anchored not stored refs pending

Concerning the Wave equation on Asymptotically Euclidean Manifolds

Chengbo Wang, Christopher D. Sogge

arxiv:0901.0022 v4 · 2008-12-30 · 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{YK5DTRMAI534X5Q5HH67DD6ABO}

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	2026-05-18T04:30:12.804917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ba39c5804777cbf61d39fdf18fc00bad5624d66186c15eadbef2b8fad25bbd

Aliases

arxiv: 0901.0022 · arxiv_version: 0901.0022v4 · doi: 10.48550/arxiv.0901.0022 · pith_short_12: YK5DTRMAI534 · pith_short_16: YK5DTRMAI534X5Q5 · pith_short_8: YK5DTRMA

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/YK5DTRMAI534X5Q5HH67DD6ABO \
  | 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: c2ba39c5804777cbf61d39fdf18fc00bad5624d66186c15eadbef2b8fad25bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9a668fbbbf99fea784d8da9e65f7a0bd59665fc246df405903a13e1e3a6eb4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-30T22:18:58Z",
    "title_canon_sha256": "0d4598dbcf9625b22b5f73716aaf3f1893221fc46d9d0a45ae0191fce43d168c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0022",
    "kind": "arxiv",
    "version": 4
  }
}