Pith Number

pith:32WIK4M5

pith:2011:32WIK4M527DRPYJ4A7MAYWIN75

not attested not anchored not stored refs pending

Two finite-difference schemes that preserve the dissipation of energy in a system of modified wave equations

J. E. Mac\'ias-D\'iaz, S. Jerez-Galiano

arxiv:1112.0594 v1 · 2011-12-02 · math.NA · math-ph · math.MP · 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{32WIK4M527DRPYJ4A7MAYWIN75}

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	2026-05-18T04:07:06.254300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deac85719dd7c717e13c07d80c590dff40591be4976e04a415129a0e429adfc3

Aliases

arxiv: 1112.0594 · arxiv_version: 1112.0594v1 · doi: 10.48550/arxiv.1112.0594 · pith_short_12: 32WIK4M527DR · pith_short_16: 32WIK4M527DRPYJ4 · pith_short_8: 32WIK4M5

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/32WIK4M527DRPYJ4A7MAYWIN75 \
  | 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: deac85719dd7c717e13c07d80c590dff40591be4976e04a415129a0e429adfc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47115866de284ceadf71819ea98f609c24bbb63fbd84ec79c58b7ca8e7e9fb42",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-02T22:07:51Z",
    "title_canon_sha256": "6978dc9cea71b02623641e80afd7c195782ad8144f98f4fb97312c0273696936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0594",
    "kind": "arxiv",
    "version": 1
  }
}