Pith Number

pith:E55MQPID

pith:2012:E55MQPIDZTFTFNSVYGVVVSKJAS

not attested not anchored not stored refs pending

Convergence Rates and Explicit Error Bounds of Hill's Method for Spectra of Self-Adjoint Differential Operators

Ken'ichiro Tanaka, Sunao Murashige

arxiv:1205.3308 v1 · 2012-05-15 · 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{E55MQPIDZTFTFNSVYGVVVSKJAS}

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	2026-05-18T01:36:21.253627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

277ac83d03cccb32b655c1ab5ac9490494900213144210ed1603b1ffa1a58207

Aliases

arxiv: 1205.3308 · arxiv_version: 1205.3308v1 · doi: 10.48550/arxiv.1205.3308 · pith_short_12: E55MQPIDZTFT · pith_short_16: E55MQPIDZTFTFNSV · pith_short_8: E55MQPID

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/E55MQPIDZTFTFNSVYGVVVSKJAS \
  | 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: 277ac83d03cccb32b655c1ab5ac9490494900213144210ed1603b1ffa1a58207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09373172b158f481f2d55ef776360f2ed17b09220d368b9b410c3b3bd5be6395",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-05-15T09:53:30Z",
    "title_canon_sha256": "530b455698f03cf12246a021f3a2213bb37c9fcb1fac1ec5c7b4230d10934b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3308",
    "kind": "arxiv",
    "version": 1
  }
}