Pith Number

pith:PETPEPM5

pith:2011:PETPEPM5I5QPO53TOGSIA24CDZ

not attested not anchored not stored refs pending

On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight

A. A. Vladimirov, I. A. Sheipak

arxiv:1102.4199 v2 · 2011-02-21 · 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{PETPEPM5I5QPO53TOGSIA24CDZ}

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	2026-05-18T04:25:38.798224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7926f23d9d4760f7777371a4806b821e552b1032b5c3553e0c00603711248cd5

Aliases

arxiv: 1102.4199 · arxiv_version: 1102.4199v2 · doi: 10.48550/arxiv.1102.4199 · pith_short_12: PETPEPM5I5QP · pith_short_16: PETPEPM5I5QPO53T · pith_short_8: PETPEPM5

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/PETPEPM5I5QPO53TOGSIA24CDZ \
  | 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: 7926f23d9d4760f7777371a4806b821e552b1032b5c3553e0c00603711248cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a736de76c019af698c2d694ff6458a1e3e83e79637ee240af4496f8414ddd07b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-02-21T11:57:07Z",
    "title_canon_sha256": "32b093744db03e77d18151aa27c4fe69a58d0000aaa95daa995b2d5cd5b7567e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4199",
    "kind": "arxiv",
    "version": 2
  }
}