pith. sign in
Pith Number

pith:EKCSJOHA

pith:2009:EKCSJOHAR465GPYL6PPU3H4YE5
not attested not anchored not stored refs pending

Multi-scale methods for wave propagation in heterogeneous media

Bjorn Engquist, Henrik Holst, Olof Runborg

arxiv:0911.2638 v1 · 2009-11-13 · math.NA · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EKCSJOHAR465GPYL6PPU3H4YE5}

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 2026-06-03T23:06:30.622559Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

228524b8e08f3dd33f0bf3df4d9f98274edc744110dce37817f35acb76c58f12

Aliases

arxiv: 0911.2638 · arxiv_version: 0911.2638v1 · doi: 10.48550/arxiv.0911.2638 · pith_short_12: EKCSJOHAR465 · pith_short_16: EKCSJOHAR465GPYL · pith_short_8: EKCSJOHA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EKCSJOHAR465GPYL6PPU3H4YE5 \
  | 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: 228524b8e08f3dd33f0bf3df4d9f98274edc744110dce37817f35acb76c58f12
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f1d8fcae87149db6dd5636b39b5d024be6397bae3e37a6ca61f78eb837f6710e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-11-13T15:44:37Z",
    "title_canon_sha256": "8de6237ae4f99ebbd390b441dd76bb048ac81043dbba4a7c4979f6b041058f0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2638",
    "kind": "arxiv",
    "version": 1
  }
}