Pith Number

pith:GI6IQDZW

pith:2015:GI6IQDZWEJ2OZHCGDR7D2LYIPL

not attested not anchored not stored refs pending

Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime

Jia Yin, Weizhu Bao, Xiaowei Jia, Yongyong Cai

arxiv:1511.01192 v3 · 2015-11-04 · 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{GI6IQDZWEJ2OZHCGDR7D2LYIPL}

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	2026-05-18T00:53:15.868308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323c880f362274ec9c461c7e3d2f087ac8d51e08aef8d6eb381d41bf77c6d5cb

Aliases

arxiv: 1511.01192 · arxiv_version: 1511.01192v3 · doi: 10.48550/arxiv.1511.01192 · pith_short_12: GI6IQDZWEJ2O · pith_short_16: GI6IQDZWEJ2OZHCG · pith_short_8: GI6IQDZW

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/GI6IQDZWEJ2OZHCGDR7D2LYIPL \
  | 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: 323c880f362274ec9c461c7e3d2f087ac8d51e08aef8d6eb381d41bf77c6d5cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e292fb1ec45644de64a53535a2f326a8b08128462ecab10c5cb39155db08b72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-04T03:01:08Z",
    "title_canon_sha256": "8d0620e7c02af62d9f62d3d44eed51a3f3de1e8a0ee1939985467135ee8c0ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01192",
    "kind": "arxiv",
    "version": 3
  }
}