Pith Number

pith:OZ2IQB6J

pith:2017:OZ2IQB6JWJOOWOYLECQXLVPTZY

not attested not anchored not stored refs pending

A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media

Hongkai Zhao, Jianliang Qian, Jun Fang, Leonardo Zepeda-N\'u\~nez

arxiv:1710.02307 v2 · 2017-10-06 · 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{OZ2IQB6JWJOOWOYLECQXLVPTZY}

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	2026-05-18T00:11:40.642511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76748807c9b25ceb3b0b20a175d5f3ce03a625d663ffcaaf7730833df5f40629

Aliases

arxiv: 1710.02307 · arxiv_version: 1710.02307v2 · doi: 10.48550/arxiv.1710.02307 · pith_short_12: OZ2IQB6JWJOO · pith_short_16: OZ2IQB6JWJOOWOYL · pith_short_8: OZ2IQB6J

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/OZ2IQB6JWJOOWOYLECQXLVPTZY \
  | 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: 76748807c9b25ceb3b0b20a175d5f3ce03a625d663ffcaaf7730833df5f40629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce791e5bf316a92ae5927147c3d9848163a537bcf52a41c15cbc23dcccffcbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-10-06T08:19:16Z",
    "title_canon_sha256": "4f60bc7875c02fa7b48cead73de380981b9f0484928fec5eb9d75aa94a9dc49d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02307",
    "kind": "arxiv",
    "version": 2
  }
}