Pith Number

pith:E2HKOJ4H

pith:2010:E2HKOJ4HR2NGA42WW25BGXG637

not attested not anchored not stored refs pending

Frozen Gaussian approximation for high frequency wave propagation

Jianfeng Lu, Xu Yang

arxiv:1010.1968 v3 · 2010-10-10 · 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{E2HKOJ4HR2NGA42WW25BGXG637}

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	2026-05-18T04:26:53.994158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268ea727878e9a607356b6ba135cdedfc9e41acbbb5d73259c2c9ec7348aa5c5

Aliases

arxiv: 1010.1968 · arxiv_version: 1010.1968v3 · doi: 10.48550/arxiv.1010.1968 · pith_short_12: E2HKOJ4HR2NG · pith_short_16: E2HKOJ4HR2NGA42W · pith_short_8: E2HKOJ4H

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/E2HKOJ4HR2NGA42WW25BGXG637 \
  | 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: 268ea727878e9a607356b6ba135cdedfc9e41acbbb5d73259c2c9ec7348aa5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f906989f7168090dddaedeef9142a33d86f50f39b1ff263ff138bf56260a4e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-10-10T22:01:18Z",
    "title_canon_sha256": "ca55491793b0e1548bb57b244155c7eb4291cec316f5934e326063ddbcc29845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1968",
    "kind": "arxiv",
    "version": 3
  }
}