Pith Number

pith:I2J7SQMK

pith:2026:I2J7SQMK5MFK4Y2FTUJ2VG7VZQ

not attested not anchored not stored refs pending

A space-time sparse-grid method for the wave equation

Andrea Moiola, Chiara Perinati, Ilaria Perugia, Matteo Ferrari

arxiv:2606.09688 v1 · 2026-06-08 · math.NA · cs.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{I2J7SQMK5MFK4Y2FTUJ2VG7VZQ}

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	2026-06-09T02:09:03.988050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4693f9418aeb0aae63459d13aa9bf5cc05ee98d43f4d5dae6c2d58379ffc226e

Aliases

arxiv: 2606.09688 · arxiv_version: 2606.09688v1 · doi: 10.48550/arxiv.2606.09688 · pith_short_12: I2J7SQMK5MFK · pith_short_16: I2J7SQMK5MFK4Y2F · pith_short_8: I2J7SQMK

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/I2J7SQMK5MFK4Y2FTUJ2VG7VZQ \
  | 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: 4693f9418aeb0aae63459d13aa9bf5cc05ee98d43f4d5dae6c2d58379ffc226e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5d39b1af004916c88a726b9a01f74e19adc91186b10ac198c70a81f02d6df3",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-08T16:05:31Z",
    "title_canon_sha256": "d06779f7a31b6c17ae04772fc1f897a15891865393d91553a60e1f143999d0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09688",
    "kind": "arxiv",
    "version": 1
  }
}