Pith Number

pith:ETNUR7TF

pith:2012:ETNUR7TFGHIL6ZHBT3BT4ZFTOK

not attested not anchored not stored refs pending

Resolvent Operator and Eigenfunctions of a Sturm-Liouville Type problem

Erdo\u{g}an \c{S}en, Kamil Oru\c{c}o\u{g}lu, Oktay Mukhtarov

arxiv:1208.5395 v4 · 2012-08-24 · 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{ETNUR7TFGHIL6ZHBT3BT4ZFTOK}

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	2026-05-18T03:27:32.698735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24db48fe6531d0bf64e19ec33e64b37286a0df0f3b769525c528f35c9149a409

Aliases

arxiv: 1208.5395 · arxiv_version: 1208.5395v4 · doi: 10.48550/arxiv.1208.5395 · pith_short_12: ETNUR7TFGHIL · pith_short_16: ETNUR7TFGHIL6ZHB · pith_short_8: ETNUR7TF

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/ETNUR7TFGHIL6ZHBT3BT4ZFTOK \
  | 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: 24db48fe6531d0bf64e19ec33e64b37286a0df0f3b769525c528f35c9149a409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef87f6b01fd7693aeffbaa9f86d233528fe94f448b43e8738e38f69071e1640",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-08-24T15:59:36Z",
    "title_canon_sha256": "73926380309e67dd820d519f2cdeb003b3b5f04838a85d271936eabeb7930957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5395",
    "kind": "arxiv",
    "version": 4
  }
}