Pith Number

pith:T5BT5MRJ

pith:2017:T5BT5MRJMH3KPHMCBPK5MRKOWL

not attested not anchored not stored refs pending

A spectral shift function for Schr\"{o}dinger operators with singular interactions

Fritz Gesztesy, Jussi Behrndt, Shu Nakamura

arxiv:1710.03367 v1 · 2017-10-10 · 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{T5BT5MRJMH3KPHMCBPK5MRKOWL}

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	2026-05-18T00:33:12.228008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f433eb22961f6a79d820bd5d6454eb2dc3ac1757793250da034ea46af8b256e

Aliases

arxiv: 1710.03367 · arxiv_version: 1710.03367v1 · doi: 10.48550/arxiv.1710.03367 · pith_short_12: T5BT5MRJMH3K · pith_short_16: T5BT5MRJMH3KPHMC · pith_short_8: T5BT5MRJ

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/T5BT5MRJMH3KPHMCBPK5MRKOWL \
  | 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: 9f433eb22961f6a79d820bd5d6454eb2dc3ac1757793250da034ea46af8b256e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0deff021508942e4885b8a653282a5624e15cf0b844b8a76c499af93b4345886",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-10-10T01:03:03Z",
    "title_canon_sha256": "4cb059b04a2df41a1f7dd361fe3eb806accdf9d398b55c111ea52ed6fd837a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03367",
    "kind": "arxiv",
    "version": 1
  }
}