Pith Number

pith:WEPBOSYV

pith:2016:WEPBOSYV4J4CG35IMTDEHJL3RX

not attested not anchored not stored refs pending

Novel multilevel preconditioners for the systems arising from plane wave discretization of Helmholtz equations with large wave numbers

Qiya Hu, Xuan Li

arxiv:1607.04722 v1 · 2016-07-16 · 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{WEPBOSYV4J4CG35IMTDEHJL3RX}

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	2026-05-18T01:10:56.927628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11e174b15e278236fa864c643a57b8df3196b72a62b592fe801e6d9b72ba334

Aliases

arxiv: 1607.04722 · arxiv_version: 1607.04722v1 · doi: 10.48550/arxiv.1607.04722 · pith_short_12: WEPBOSYV4J4C · pith_short_16: WEPBOSYV4J4CG35I · pith_short_8: WEPBOSYV

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/WEPBOSYV4J4CG35IMTDEHJL3RX \
  | 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: b11e174b15e278236fa864c643a57b8df3196b72a62b592fe801e6d9b72ba334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12fdf3e7691e1827a775368e4613c4cffaf43e796cce4e804780e1de76b32df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-16T09:44:51Z",
    "title_canon_sha256": "183f0e663ee7b6f7379614818b9df1bffa1097f2e774945a305bf467ed33c369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04722",
    "kind": "arxiv",
    "version": 1
  }
}