Pith Number

pith:IPP226NG

pith:2011:IPP226NGEZL46VBQ5SYPD6KSOD

not attested not anchored not stored refs pending

An Abstract Approach to Weak Convergence of Spectral Shift Functions and Applications to Multi-Dimensional Schr\"odinger Operators

Fritz Gesztesy, Roger Nichols

arxiv:1111.0096 v1 · 2011-11-01 · math.SP · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPP226NGEZL46VBQ5SYPD6KSOD}

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	2026-05-18T04:09:46.408856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43dfad79a62657cf5430ecb0f1f95270d031cad1e45cd2db981df8050f5731d1

Aliases

arxiv: 1111.0096 · arxiv_version: 1111.0096v1 · doi: 10.48550/arxiv.1111.0096 · pith_short_12: IPP226NGEZL4 · pith_short_16: IPP226NGEZL46VBQ · pith_short_8: IPP226NG

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/IPP226NGEZL46VBQ5SYPD6KSOD \
  | 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: 43dfad79a62657cf5430ecb0f1f95270d031cad1e45cd2db981df8050f5731d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e279d52216e1abaf68b2d6298e418a5f6169011f74f327e0af8920ff9e99376",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-11-01T00:51:37Z",
    "title_canon_sha256": "2d3be1c383c61f94f5c2a47eb7d52e6953d38ffa0a04162981586d13f70064f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0096",
    "kind": "arxiv",
    "version": 1
  }
}