Pith Number

pith:YRAAAKUP

pith:2017:YRAAAKUP74RZWKEHPEEHQFYEPF

not attested not anchored not stored refs pending

A Crank-Nicolson Finite Element Method and the Optimal Error Estimates for the modified Time-dependent Maxwell-Schr\"{o}dinger Equations

Chupeng Ma, Liqun Cao

arxiv:1703.02281 v1 · 2017-03-07 · math.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{YRAAAKUP74RZWKEHPEEHQFYEPF}

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	2026-05-18T00:49:20.299952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c440002a8fff239b28877908781704796ad9c0910d0b049c70870205e20afcca

Aliases

arxiv: 1703.02281 · arxiv_version: 1703.02281v1 · doi: 10.48550/arxiv.1703.02281 · pith_short_12: YRAAAKUP74RZ · pith_short_16: YRAAAKUP74RZWKEH · pith_short_8: YRAAAKUP

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/YRAAAKUP74RZWKEHPEEHQFYEPF \
  | 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: c440002a8fff239b28877908781704796ad9c0910d0b049c70870205e20afcca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "800afc68289e57e380ae16101070c0d54ee1b387571a417d3f02013cf5e760af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-03-07T08:57:09Z",
    "title_canon_sha256": "9b893c5dc4444f883230f4baf9179a0cf18f58d913a37933e870468d9f3ee4ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02281",
    "kind": "arxiv",
    "version": 1
  }
}