Pith Number

pith:BZ6C4WG2

pith:2018:BZ6C4WG2ROESNXFT65GX26QFXX

not attested not anchored not stored refs pending

Exponential convergence for multipole and local expansions and their translations for sources in layered media: 2-D acoustic wave

Bo Wang, Wei Cai, Wenzhong Zhang

arxiv:1809.07716 v2 · 2018-09-20 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZ6C4WG2ROESNXFT65GX26QFXX}

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	2026-05-17T23:44:43.032333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7c2e58da8b8926dcb3f74d7d7a05bdc4afbd534b5701432852f5e0a9f10f1f

Aliases

arxiv: 1809.07716 · arxiv_version: 1809.07716v2 · doi: 10.48550/arxiv.1809.07716 · pith_short_12: BZ6C4WG2ROES · pith_short_16: BZ6C4WG2ROESNXFT · pith_short_8: BZ6C4WG2

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/BZ6C4WG2ROESNXFT65GX26QFXX \
  | 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: 0e7c2e58da8b8926dcb3f74d7d7a05bdc4afbd534b5701432852f5e0a9f10f1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c79ccfbc40249b1cc68f0888f93718fc8dbfb906d6138ccb89abd34f5b54ea5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-09-20T16:10:16Z",
    "title_canon_sha256": "a9dabc6c569a8e012a140f8d63dccf8e3bcd70c2077dcc8dc0eb17204228e11c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07716",
    "kind": "arxiv",
    "version": 2
  }
}