Pith Number

pith:V5ZOV4CC

pith:2012:V5ZOV4CCXBKNN4L6UFE7BOWMTL

not attested not anchored not stored refs pending

On a class of spectral problems on the half-line and their applications to multi-dimensional problems

Michael Solomyak

arxiv:1203.1156 v1 · 2012-03-06 · 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{V5ZOV4CCXBKNN4L6UFE7BOWMTL}

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	2026-05-18T04:00:40.215119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af72eaf042b854d6f17ea149f0bacc9ae9f0b262413b82427c6269f64b14cb35

Aliases

arxiv: 1203.1156 · arxiv_version: 1203.1156v1 · doi: 10.48550/arxiv.1203.1156 · pith_short_12: V5ZOV4CCXBKN · pith_short_16: V5ZOV4CCXBKNN4L6 · pith_short_8: V5ZOV4CC

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/V5ZOV4CCXBKNN4L6UFE7BOWMTL \
  | 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: af72eaf042b854d6f17ea149f0bacc9ae9f0b262413b82427c6269f64b14cb35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ae863ffb745e8826ad89770bf5b8feff1212b04985246cc07359e79985ccc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-03-06T10:19:42Z",
    "title_canon_sha256": "a364302fb2f6fd15459e41adb01e74c0b6f40f88585afd9f910502716adb6b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1156",
    "kind": "arxiv",
    "version": 1
  }
}