Pith Number

pith:UJVAJFOZ

pith:2015:UJVAJFOZIC4QXSRZAQA6K3JSP4

not attested not anchored not stored refs pending

Block-diagonalization of ODEs in the semiclassical limit and $C^\omega$ vs. $C^\infty$ stationary phase

Kevin Zumbrun, Mark Williams, Olivier Lafitte

arxiv:1507.03116 v2 · 2015-07-11 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJVAJFOZIC4QXSRZAQA6K3JSP4}

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	2026-05-18T01:36:03.368368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26a0495d940b90bca390401e56d327f3ff85252cd185ab86f7661cb578df1fc

Aliases

arxiv: 1507.03116 · arxiv_version: 1507.03116v2 · doi: 10.48550/arxiv.1507.03116 · pith_short_12: UJVAJFOZIC4Q · pith_short_16: UJVAJFOZIC4QXSRZ · pith_short_8: UJVAJFOZ

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/UJVAJFOZIC4QXSRZAQA6K3JSP4 \
  | 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: a26a0495d940b90bca390401e56d327f3ff85252cd185ab86f7661cb578df1fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8c13fdcf2913cd4b63caafe5f2938fbe4ec6f8f19ae5f4cd158048587b32fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-11T15:30:02Z",
    "title_canon_sha256": "d7880ac4148c894a03be16a11d6a83eb2451d66f70ba04dbf71819accf112115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03116",
    "kind": "arxiv",
    "version": 2
  }
}