Pith Number

pith:YPMWRVBT

pith:2008:YPMWRVBTUGVIKJ2M2ZFOSEETCC

not attested not anchored not stored refs pending

Spectral parameter power series for Sturm-Liouville problems

R. Michael Porter, Vladislav V. Kravchenko

arxiv:0811.4488 v1 · 2008-11-28 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPMWRVBTUGVIKJ2M2ZFOSEETCC}

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	2026-05-18T04:08:12.789965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d968d433a1aa85274cd64ae9109310b69aeb83d3c664252a1fb8095c50c02b

Aliases

arxiv: 0811.4488 · arxiv_version: 0811.4488v1 · doi: 10.48550/arxiv.0811.4488 · pith_short_12: YPMWRVBTUGVI · pith_short_16: YPMWRVBTUGVIKJ2M · pith_short_8: YPMWRVBT

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/YPMWRVBTUGVIKJ2M2ZFOSEETCC \
  | 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: c3d968d433a1aa85274cd64ae9109310b69aeb83d3c664252a1fb8095c50c02b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c5018c4a820f02d4ebd7f48ae86ef4de2d69d04c937b977e2f1c2bbfcffd65",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-28T16:17:32Z",
    "title_canon_sha256": "035b7ba73452d5431173a40524b3e4c8bbf2c0dde1667aabf8d1d03200f53ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4488",
    "kind": "arxiv",
    "version": 1
  }
}