Pith Number

pith:D2NA4L2O

pith:2015:D2NA4L2OZIP4VHILK6TCUTN7O7

not attested not anchored not stored refs pending

Double operator integral methods applied to continuity of spectral shift functions

Alan Carey, Denis Potapov, Fedor Sukochev, Fritz Gesztesy, Galina Levitina, Roger Nichols

arxiv:1511.07998 v2 · 2015-11-25 · 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{D2NA4L2OZIP4VHILK6TCUTN7O7}

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	2026-05-18T01:21:29.912891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e9a0e2f4eca1fca9d0b57a62a4dbf77dac2a4a0063604d80e2614bc9021b118

Aliases

arxiv: 1511.07998 · arxiv_version: 1511.07998v2 · doi: 10.48550/arxiv.1511.07998 · pith_short_12: D2NA4L2OZIP4 · pith_short_16: D2NA4L2OZIP4VHIL · pith_short_8: D2NA4L2O

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/D2NA4L2OZIP4VHILK6TCUTN7O7 \
  | 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: 1e9a0e2f4eca1fca9d0b57a62a4dbf77dac2a4a0063604d80e2614bc9021b118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d86f72f5208489377374724135109a110370c4447f939417239cc767ec27cc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-25T09:16:59Z",
    "title_canon_sha256": "c93f8e6ab54bb6c1863ffd30b0c01e3cfb40ca3ee0612c430083f320180d461a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07998",
    "kind": "arxiv",
    "version": 2
  }
}