Pith Number

pith:TZZDBDYY

pith:2012:TZZDBDYYLESS7T7BX7I76QJGDP

not attested not anchored not stored refs pending

On Titchmarsh-Weyl functions of first-order symmetric systems with arbitrary deficiency indices

Mark Malamud, Sergio Albeverio, Vadim Mogilevskii

arxiv:1206.0479 v1 · 2012-06-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZZDBDYYLESS7T7BX7I76QJGDP}

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	2026-05-18T03:54:17.546721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e72308f1859252fcfe1bfd1ff41261bdcb9e3f8e7d779cdf97392c2930c4f78

Aliases

arxiv: 1206.0479 · arxiv_version: 1206.0479v1 · doi: 10.48550/arxiv.1206.0479 · pith_short_12: TZZDBDYYLESS · pith_short_16: TZZDBDYYLESS7T7B · pith_short_8: TZZDBDYY

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/TZZDBDYYLESS7T7BX7I76QJGDP \
  | 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: 9e72308f1859252fcfe1bfd1ff41261bdcb9e3f8e7d779cdf97392c2930c4f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa42194aa50d16f58882f32c8086c75f094b7bff3be361eecc816c8d4e5aa10c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-03T19:09:29Z",
    "title_canon_sha256": "4e0b8e2cf2e0a396b7bd68f393d615ad4ca968604eb83f24e028c4cd59a3949f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0479",
    "kind": "arxiv",
    "version": 1
  }
}