Pith Number

pith:ATPVLO2Q

pith:2016:ATPVLO2QCE6ID6C2PWETDAGAO7

not attested not anchored not stored refs pending

Estimates for the upscaling error in heterogeneous multiscale methods for wave propagation problems in locally periodic media

Doghonay Arjmand, Olof Runborg

arxiv:1605.02386 v2 · 2016-05-08 · 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{ATPVLO2QCE6ID6C2PWETDAGAO7}

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	2026-05-18T00:50:35.685509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04df55bb50113c81f85a7d893180c077dab6592dda7fd022d6d713c54f4bb025

Aliases

arxiv: 1605.02386 · arxiv_version: 1605.02386v2 · doi: 10.48550/arxiv.1605.02386 · pith_short_12: ATPVLO2QCE6I · pith_short_16: ATPVLO2QCE6ID6C2 · pith_short_8: ATPVLO2Q

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/ATPVLO2QCE6ID6C2PWETDAGAO7 \
  | 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: 04df55bb50113c81f85a7d893180c077dab6592dda7fd022d6d713c54f4bb025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8e1bd92eb69c0605ddff90eea2ddc66ee6639eb080783557f0c34853163271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-08T23:23:52Z",
    "title_canon_sha256": "f81a88de2f86f652417733ba5896e7a7337f394f5ff4f875f870b91f6beaa728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02386",
    "kind": "arxiv",
    "version": 2
  }
}