Pith Number

pith:75UPZ4E2

pith:2019:75UPZ4E2ZGEXDPR3XNJCMYGC2O

not attested not anchored not stored refs pending

Operators in the Cowen-Douglas class and related topics

Gadadhar Misra

arxiv:1901.03801 v1 · 2019-01-12 · 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{75UPZ4E2ZGEXDPR3XNJCMYGC2O}

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	2026-05-17T23:56:27.001879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff68fcf09ac98971be3bbb522660c2d398da9b6269422e419bb0f44a04bcb1d6

Aliases

arxiv: 1901.03801 · arxiv_version: 1901.03801v1 · doi: 10.48550/arxiv.1901.03801 · pith_short_12: 75UPZ4E2ZGEX · pith_short_16: 75UPZ4E2ZGEXDPR3 · pith_short_8: 75UPZ4E2

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/75UPZ4E2ZGEXDPR3XNJCMYGC2O \
  | 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: ff68fcf09ac98971be3bbb522660c2d398da9b6269422e419bb0f44a04bcb1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d99c96ce3da287c00c4b34f8b737bb5493150824a1517d310f1dd3cb6f3b4396",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-12T05:21:22Z",
    "title_canon_sha256": "a683314d174443fffa68057b2a21eadd547c49b7d0671d98302f286edbdf7223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03801",
    "kind": "arxiv",
    "version": 1
  }
}