Pith Number

pith:EH5TAY45

pith:2019:EH5TAY454N2GMXCP43NRMWH7DN

not attested not anchored not stored refs pending

Hilbert-Schmidt and Trace Class Pseudo-differential Operators on the Abstract Heisenberg Group

Aparajita Dasgupta, Vishvesh Kumar

arxiv:1902.09869 v1 · 2019-02-26 · 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{EH5TAY454N2GMXCP43NRMWH7DN}

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	2026-05-17T23:52:35.120165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21fb30639de374665c4fe6db1658ff1b69c7138f13e0a2d8c566a49a03059351

Aliases

arxiv: 1902.09869 · arxiv_version: 1902.09869v1 · doi: 10.48550/arxiv.1902.09869 · pith_short_12: EH5TAY454N2G · pith_short_16: EH5TAY454N2GMXCP · pith_short_8: EH5TAY45

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/EH5TAY454N2GMXCP43NRMWH7DN \
  | 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: 21fb30639de374665c4fe6db1658ff1b69c7138f13e0a2d8c566a49a03059351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63a77fab0a9902a45ea9f2ebf50c25bd35313f13a0b4d2572d1c6bf837c2ba36",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-26T11:24:40Z",
    "title_canon_sha256": "60ca9cda8276a861cd83b7a00d664438fe21274c5874c3fa804586169ac64f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09869",
    "kind": "arxiv",
    "version": 1
  }
}