Pith Number

pith:A4F6NPGX

pith:2024:A4F6NPGXAVSHXDQZCZPRVKXZEU

not attested not anchored not stored refs pending

DiscoTEX 1.0: Discontinuous collocation and implicit-turned-explicit (IMTEX) integration symplectic, symmetric numerical algorithms with high order jumps for differential equations II: extension to higher-orders of numerical convergence

Lidia J. Gomes Da Silva

arxiv:2411.14399 v1 · 2024-11-21 · math.NA · astro-ph.IM · cs.NA · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4F6NPGXAVSHXDQZCZPRVKXZEU}

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	2026-07-05T09:38:46.330924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

070be6bcd705647b8e19165f1aaaf9251d28e6e9260bb1818f18f375af052ac1

Aliases

arxiv: 2411.14399 · arxiv_version: 2411.14399v1 · doi: 10.48550/arxiv.2411.14399 · pith_short_12: A4F6NPGXAVSH · pith_short_16: A4F6NPGXAVSHXDQZ · pith_short_8: A4F6NPGX

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/A4F6NPGXAVSHXDQZCZPRVKXZEU \
  | 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: 070be6bcd705647b8e19165f1aaaf9251d28e6e9260bb1818f18f375af052ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "570cc36d4b113250794b1526e2b15a5fd7cfa0bf5cef9f5a32ed69e32ec311af",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "cs.NA",
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-11-21T18:28:19Z",
    "title_canon_sha256": "8f0b7e57d79a508223c6113d31e34228ba15c05e8e08f91dba46c8c7d1ab5cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14399",
    "kind": "arxiv",
    "version": 1
  }
}