Pith Number

pith:JCBQJ2QM

pith:2014:JCBQJ2QMFZC4TU7JPMEALIDCHX

not attested not anchored not stored refs pending

A framework of the harmonic Arnoldi method for evaluating $\varphi$-functions with applications to exponential integrators

Gang Wu, Lu Zhang, Ting-ting Xu

arxiv:1409.0349 v1 · 2014-09-01 · 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{JCBQJ2QMFZC4TU7JPMEALIDCHX}

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	2026-05-18T02:43:52.936868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

488304ea0c2e45c9d3e97b0805a0623de25db5d8a3f76d2b7d8661c719c64bb9

Aliases

arxiv: 1409.0349 · arxiv_version: 1409.0349v1 · doi: 10.48550/arxiv.1409.0349 · pith_short_12: JCBQJ2QMFZC4 · pith_short_16: JCBQJ2QMFZC4TU7J · pith_short_8: JCBQJ2QM

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/JCBQJ2QMFZC4TU7JPMEALIDCHX \
  | 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: 488304ea0c2e45c9d3e97b0805a0623de25db5d8a3f76d2b7d8661c719c64bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f68f0919ea7082996dd3dd22b34bed4bcbc6367e49297a955f153ed0e016c842",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-09-01T10:03:52Z",
    "title_canon_sha256": "11170c6e28008ecc7bb6d61b381898b2f84cb89b36214b1cadff6219d60d1c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0349",
    "kind": "arxiv",
    "version": 1
  }
}