Pith Number

pith:4D5JCOB2

pith:2011:4D5JCOB2MWVCGVX5HULKERLKDS

not attested not anchored not stored refs pending

Numerical Stability of Explicit Runge-Kutta Finite-Difference Schemes for the Nonlinear Schr\"odinger Equation

Ricardo Carretero-Gonz\'alez, Ronald M. Caplan

arxiv:1107.4810 v4 · 2011-07-24 · 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{4D5JCOB2MWVCGVX5HULKERLKDS}

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	2026-05-18T03:37:29.109479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fa91383a65aa2356fd3d16a2456a1c9fb4d1bd0973b7bbddd4e60b907820eb

Aliases

arxiv: 1107.4810 · arxiv_version: 1107.4810v4 · doi: 10.48550/arxiv.1107.4810 · pith_short_12: 4D5JCOB2MWVC · pith_short_16: 4D5JCOB2MWVCGVX5 · pith_short_8: 4D5JCOB2

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/4D5JCOB2MWVCGVX5HULKERLKDS \
  | 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: e0fa91383a65aa2356fd3d16a2456a1c9fb4d1bd0973b7bbddd4e60b907820eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c1b34b09323066dac53834c61f737c38dec7edd9bdea25cde5a52c2d91e69d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2011-07-24T22:08:52Z",
    "title_canon_sha256": "db155ad117a4c0878cb0bd4cb4c94e84846459854700089ea65da9c85cc13505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4810",
    "kind": "arxiv",
    "version": 4
  }
}