Pith Number

pith:NH2GMDFD

pith:2015:NH2GMDFDRJBMKLV3DKRULL2G54

not attested not anchored not stored refs pending

Frozen Gaussian approximation for high frequency wave propagation in periodic media

Jianfeng Lu, Ricardo Delgadillo, Xu Yang

arxiv:1504.08051 v3 · 2015-04-30 · 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{NH2GMDFDRJBMKLV3DKRULL2G54}

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	2026-05-18T01:12:58.546979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f4660ca38a42c52ebb1aa345af46ef09c671cdbf9a5a866a029b25b188d208

Aliases

arxiv: 1504.08051 · arxiv_version: 1504.08051v3 · doi: 10.48550/arxiv.1504.08051 · pith_short_12: NH2GMDFDRJBM · pith_short_16: NH2GMDFDRJBMKLV3 · pith_short_8: NH2GMDFD

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/NH2GMDFDRJBMKLV3DKRULL2G54 \
  | 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: 69f4660ca38a42c52ebb1aa345af46ef09c671cdbf9a5a866a029b25b188d208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b65b75dd53c346631726f29ea8fc900b73fc4cdb3697f9c72ca1f2b6b9b2f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-04-30T00:46:07Z",
    "title_canon_sha256": "31961d633d36d0f19224f5d4f28bb18f1bd1a76faeca654dffae6aba68a4638c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08051",
    "kind": "arxiv",
    "version": 3
  }
}