Pith Number

pith:VX4GZXMR

pith:2020:VX4GZXMRY7N54HYQMHFRY56RTN

not attested not anchored not stored refs pending

Sweeping preconditioners for stratified media in the presence of reflections

Christoph Lehrenfeld, Janosch Preu{\ss}, Thorsten Hohage

arxiv:2002.12016 v2 · 2020-02-27 · math.NA · cs.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VX4GZXMRY7N54HYQMHFRY56RTN}

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	2026-07-05T01:09:04.029056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf86cdd91c7dbde1f1061cb1c77d19b54f8611b524f48f4c4834a2b85020d6e

Aliases

arxiv: 2002.12016 · arxiv_version: 2002.12016v2 · doi: 10.48550/arxiv.2002.12016 · pith_short_12: VX4GZXMRY7N5 · pith_short_16: VX4GZXMRY7N54HYQ · pith_short_8: VX4GZXMR

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/VX4GZXMRY7N54HYQMHFRY56RTN \
  | 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: adf86cdd91c7dbde1f1061cb1c77d19b54f8611b524f48f4c4834a2b85020d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b6ae095b61162c1737bc46ce2ed06a2d5b4b7281cf52eaee7a2b0ed5b25c47",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-02-27T10:16:23Z",
    "title_canon_sha256": "9482b9bce616dc997f8b5a0e32b400960e964836e6649f3fc63d3d72f1fd3b20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.12016",
    "kind": "arxiv",
    "version": 2
  }
}