Pith Number

pith:PEFQ6VRH

pith:2008:PEFQ6VRH6VIL5OUH6IP72G5DVI

not attested not anchored not stored refs pending

On the oscillation properties of eigenfunctions of Sturm--Liouville problem with singular coefficients

A.A.Vladimirov

arxiv:0810.4095 v1 · 2008-10-22 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEFQ6VRH6VIL5OUH6IP72G5DVI}

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	2026-05-18T02:15:23.619613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

790b0f5627f550beba87f21ffd1ba3aa24b00611683e4d2caa4af814f8843f38

Aliases

arxiv: 0810.4095 · arxiv_version: 0810.4095v1 · doi: 10.48550/arxiv.0810.4095 · pith_short_12: PEFQ6VRH6VIL · pith_short_16: PEFQ6VRH6VIL5OUH · pith_short_8: PEFQ6VRH

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/PEFQ6VRH6VIL5OUH6IP72G5DVI \
  | 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: 790b0f5627f550beba87f21ffd1ba3aa24b00611683e4d2caa4af814f8843f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f5066e07cad8a75dcc5c3be324279349de3ec93eba39a36890ff9251c1cf377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-10-22T15:53:06Z",
    "title_canon_sha256": "eca395f114372afd529a78615bea14e93cc9ff70808218edf6a3c4778bf9ae21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4095",
    "kind": "arxiv",
    "version": 1
  }
}