Pith Number

pith:QA25BPXZ

pith:2012:QA25BPXZ6KIGZSXS4KQL6CZM3M

not attested not anchored not stored refs pending

Invariant discretization schemes for the shallow-water equations

Alexander Bihlo, Roman O. Popovych

arxiv:1201.0498 v3 · 2012-01-02 · math-ph · math.MP · math.NA · physics.ao-ph · physics.comp-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QA25BPXZ6KIGZSXS4KQL6CZM3M}

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	2026-05-18T03:37:20.395094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8035d0bef9f2906ccaf2e2a0bf0b2cdb2501b64ae17e6dcc93a5ceddb21456a5

Aliases

arxiv: 1201.0498 · arxiv_version: 1201.0498v3 · doi: 10.48550/arxiv.1201.0498 · pith_short_12: QA25BPXZ6KIG · pith_short_16: QA25BPXZ6KIGZSXS · pith_short_8: QA25BPXZ

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/QA25BPXZ6KIGZSXS4KQL6CZM3M \
  | 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: 8035d0bef9f2906ccaf2e2a0bf0b2cdb2501b64ae17e6dcc93a5ceddb21456a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0d60487a30f7f40d4ffacce5fe719d7d9e5d23cb9b8d466071bbaf5247b40d",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA",
      "physics.ao-ph",
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-02T17:07:41Z",
    "title_canon_sha256": "9e61a255b2daa9db5de81f1bd22df2ef0f72a621c92b0a0c61d0bbcfbf70941e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0498",
    "kind": "arxiv",
    "version": 3
  }
}