Pith Number

pith:O5ENC75O

pith:2012:O5ENC75OWRXETODJC27LYFHBQT

not attested not anchored not stored refs pending

Titchmarsh-Weyl theory for Schr\"odinger operators on unbounded domains

Jonathan Rohleder, Jussi Behrndt

arxiv:1208.5224 v3 · 2012-08-26 · 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{O5ENC75OWRXETODJC27LYFHBQT}

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	2026-05-18T02:34:52.861182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7748d17faeb46e49b86916bebc14e184d1ebd75cf510eb57010123be2def23fa

Aliases

arxiv: 1208.5224 · arxiv_version: 1208.5224v3 · doi: 10.48550/arxiv.1208.5224 · pith_short_12: O5ENC75OWRXE · pith_short_16: O5ENC75OWRXETODJ · pith_short_8: O5ENC75O

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/O5ENC75OWRXETODJC27LYFHBQT \
  | 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: 7748d17faeb46e49b86916bebc14e184d1ebd75cf510eb57010123be2def23fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e104c3a73aa2c3a73d34e6465e260eb7247fdd358646927b463723820108faa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-08-26T13:49:02Z",
    "title_canon_sha256": "a725b394591ef0b598c8ec4345c2911766580b09f53c114ca63f3ac429be659b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5224",
    "kind": "arxiv",
    "version": 3
  }
}