Pith Number

pith:LLWD2AZY

pith:2013:LLWD2AZYCJNSABWTF3526IEZFR

not attested not anchored not stored refs pending

High-frequency resolvent estimates on asymptotically Euclidean warped products

Hans Christianson

arxiv:1303.6172 v1 · 2013-03-25 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLWD2AZYCJNSABWTF3526IEZFR}

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	2026-05-18T03:29:51.714331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aec3d0338125b2006d32efbaf20992c4e3568009a0366c3f818674f0e1d0417

Aliases

arxiv: 1303.6172 · arxiv_version: 1303.6172v1 · doi: 10.48550/arxiv.1303.6172 · pith_short_12: LLWD2AZYCJNS · pith_short_16: LLWD2AZYCJNSABWT · pith_short_8: LLWD2AZY

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/LLWD2AZYCJNSABWTF3526IEZFR \
  | 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: 5aec3d0338125b2006d32efbaf20992c4e3568009a0366c3f818674f0e1d0417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb64ad82785a20ea5dd240d69167a3b2dd5334b4f350e53f285a86c58eba97a2",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-25T15:41:13Z",
    "title_canon_sha256": "af16430b843cdb6997d6fcb52effe0868b553287888d25035e959bb7394758dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6172",
    "kind": "arxiv",
    "version": 1
  }
}