Pith Number

pith:VLH7JAAQ

pith:2017:VLH7JAAQBI7C7FJC3CLUMVOWEA

not attested not anchored not stored refs pending

Error estimates of the Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schr\"{o}dinger equations under the Lorentz gauge

Chupeng Ma, Liqun Cao, Yanping Lin

arxiv:1703.02274 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{VLH7JAAQBI7C7FJC3CLUMVOWEA}

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	2026-05-18T00:49:20.334993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aacff480100a3e2f9522d8974655d62030f43fecde3a1aad3e6b514d9868bb08

Aliases

arxiv: 1703.02274 · arxiv_version: 1703.02274v1 · doi: 10.48550/arxiv.1703.02274 · pith_short_12: VLH7JAAQBI7C · pith_short_16: VLH7JAAQBI7C7FJC · pith_short_8: VLH7JAAQ

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/VLH7JAAQBI7C7FJC3CLUMVOWEA \
  | 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: aacff480100a3e2f9522d8974655d62030f43fecde3a1aad3e6b514d9868bb08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cff5c8f3c7c7979531ea0e6df297d1ccb591f54e4d1365e312df6c52d9ba9d8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-03-07T08:35:10Z",
    "title_canon_sha256": "a7eb9f29a96815a41c1b99b2f0bb3753f494bb4cb6ea0c4fdf69b890cfaf5c7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02274",
    "kind": "arxiv",
    "version": 1
  }
}