Pith Number

pith:W6WOOPKI

pith:1998:W6WOOPKIH23UU6LBDTHGRKZW6Y

not attested not anchored not stored refs pending

Approximation and support theorem for a two space-dimensional wave equation

Annie Millet, Marta Sanz-Sol\'e

arxiv:math/9804148 v1 · 1998-04-03 · math.PR · 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{W6WOOPKIH23UU6LBDTHGRKZW6Y}

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	2026-05-18T01:05:34.076167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ace73d483eb74a79611cce68ab36f601079e52131f4cff23c65c2d786de18d

Aliases

arxiv: math/9804148 · arxiv_version: math/9804148v1 · doi: 10.48550/arxiv.math/9804148 · pith_short_12: W6WOOPKIH23U · pith_short_16: W6WOOPKIH23UU6LB · pith_short_8: W6WOOPKI

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/W6WOOPKIH23UU6LBDTHGRKZW6Y \
  | 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: b7ace73d483eb74a79611cce68ab36f601079e52131f4cff23c65c2d786de18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c3334d3337abe8fb01a9dfd15b4bbd301e9bc20373a659c2810f8add021b23",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1998-04-03T00:00:00Z",
    "title_canon_sha256": "66f9282d5186bf307ab78855a0499c718343ba515be855a62da768deca0df0cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9804148",
    "kind": "arxiv",
    "version": 1
  }
}