Pith Number

pith:FVOIVH67

pith:2010:FVOIVH67B7W4DWOQBZWNS2WA5V

not attested not anchored not stored refs pending

Convergence of frozen Gaussian approximation for high frequency wave propagation

Jianfeng Lu, Xu Yang

arxiv:1012.5055 v1 · 2010-12-22 · 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{FVOIVH67B7W4DWOQBZWNS2WA5V}

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	2026-05-18T04:32:44.597225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d5c8a9fdf0fedc1d9d00e6cd96ac0ed63515a58bc7e5f9ea42d51c7344cde63

Aliases

arxiv: 1012.5055 · arxiv_version: 1012.5055v1 · doi: 10.48550/arxiv.1012.5055 · pith_short_12: FVOIVH67B7W4 · pith_short_16: FVOIVH67B7W4DWOQ · pith_short_8: FVOIVH67

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/FVOIVH67B7W4DWOQBZWNS2WA5V \
  | 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: 2d5c8a9fdf0fedc1d9d00e6cd96ac0ed63515a58bc7e5f9ea42d51c7344cde63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e13405c93cfc4830cf414cd4b30186741be445b340310a0de4ee55e38dc832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-12-22T17:50:57Z",
    "title_canon_sha256": "0b2bd703a969817559149b41d8bc1ab790915777482ba6c930c4581330f043d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5055",
    "kind": "arxiv",
    "version": 1
  }
}