Pith Number

pith:VWP2OSHK

pith:2016:VWP2OSHKRIEA67L6QC7VS3FTBC

not attested not anchored not stored refs pending

Long-term analysis of semilinear wave equations with slowly varying wave speed

Christian Lubich, Ernst Hairer, Ludwig Gauckler

arxiv:1602.06748 v2 · 2016-02-22 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWP2OSHKRIEA67L6QC7VS3FTBC}

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	2026-05-18T01:06:20.885402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9fa748ea8a080f7d7e80bf596cb308abcbe8b0311e8c32ec1aa0be3b33bfba

Aliases

arxiv: 1602.06748 · arxiv_version: 1602.06748v2 · doi: 10.48550/arxiv.1602.06748 · pith_short_12: VWP2OSHKRIEA · pith_short_16: VWP2OSHKRIEA67L6 · pith_short_8: VWP2OSHK

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/VWP2OSHKRIEA67L6QC7VS3FTBC \
  | 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: ad9fa748ea8a080f7d7e80bf596cb308abcbe8b0311e8c32ec1aa0be3b33bfba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06952217277b873d58f745f922c816cee1376d8a7e3877af99bda8b3d9812d07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-22T12:22:19Z",
    "title_canon_sha256": "595c3ea9a6dcd1351458c62eaba70569e5cb29961f8e92f817cdc4bea2acae7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06748",
    "kind": "arxiv",
    "version": 2
  }
}