Pith Number

pith:AYR26QFC

pith:2019:AYR26QFCJDI5JRKFWHF6E5XDMO

not attested not anchored not stored refs pending

Quasi-Fredholm spectrum and compact perturbations

Ankit Kumar, Anuradha Gupta

arxiv:1908.04105 v1 · 2019-08-12 · 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{AYR26QFCJDI5JRKFWHF6E5XDMO}

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	2026-07-04T23:53:20.763896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0623af40a248d1d4c545b1cbe276e363be247cc0e36174371ba7e590a9097be1

Aliases

arxiv: 1908.04105 · arxiv_version: 1908.04105v1 · doi: 10.48550/arxiv.1908.04105 · pith_short_12: AYR26QFCJDI5 · pith_short_16: AYR26QFCJDI5JRKF · pith_short_8: AYR26QFC

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/AYR26QFCJDI5JRKFWHF6E5XDMO \
  | 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: 0623af40a248d1d4c545b1cbe276e363be247cc0e36174371ba7e590a9097be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdcebc7794bd70c50e818385dcb7e50c1ed49c4f7aba18872ea3fff81567c2db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-08-12T12:03:30Z",
    "title_canon_sha256": "74a9eaeeb46cf5c3b9c8d80618262461a23c48150a7445a13b396c0f851aa60f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04105",
    "kind": "arxiv",
    "version": 1
  }
}