Pith Number

pith:VCLZLI6X

pith:2009:VCLZLI6XTNGOLSKJUGSPECURCG

not attested not anchored not stored refs pending

Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method

Hayato Chiba

arxiv:0911.4990 v1 · 2009-11-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCLZLI6XTNGOLSKJUGSPECURCG}

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	2026-05-18T02:10:36.606390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89795a3d79b4ce5c949a1a4f20a911182f038880b8003a8c59393f949d548f2

Aliases

arxiv: 0911.4990 · arxiv_version: 0911.4990v1 · doi: 10.48550/arxiv.0911.4990 · pith_short_12: VCLZLI6XTNGO · pith_short_16: VCLZLI6XTNGOLSKJ · pith_short_8: VCLZLI6X

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/VCLZLI6XTNGOLSKJUGSPECURCG \
  | 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: a89795a3d79b4ce5c949a1a4f20a911182f038880b8003a8c59393f949d548f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a38d186da45b371e4d9e64ed4ae8308c3cc098a661d46eddd2d9186cf68f48d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-11-26T00:50:38Z",
    "title_canon_sha256": "d3a61bd6f245542aac6170f1a59b4c2cd9217446bf827da7013b7fe48b1c9e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4990",
    "kind": "arxiv",
    "version": 1
  }
}