Pith Number

pith:UH6I7VLP

pith:2016:UH6I7VLPHGN4K3GN76EOM67ZEL

not attested not anchored not stored refs pending

Cowen-Douglas Operator and Shift on Basis

Geng Tian, Juexian Li, Yang Cao

arxiv:1604.01862 v1 · 2016-04-07 · 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{UH6I7VLPHGN4K3GN76EOM67ZEL}

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	2026-05-18T01:17:31.908403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1fc8fd56f399bc56ccdff88e67bf922ca53736edcb549cb04abd8c5c4877b40

Aliases

arxiv: 1604.01862 · arxiv_version: 1604.01862v1 · doi: 10.48550/arxiv.1604.01862 · pith_short_12: UH6I7VLPHGN4 · pith_short_16: UH6I7VLPHGN4K3GN · pith_short_8: UH6I7VLP

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/UH6I7VLPHGN4K3GN76EOM67ZEL \
  | 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: a1fc8fd56f399bc56ccdff88e67bf922ca53736edcb549cb04abd8c5c4877b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fee30a7a943e609d28b62ce8e14f20467f33a0e6ec16095ee84cfc0ba7b31616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-07T03:45:53Z",
    "title_canon_sha256": "92ab784ed7ca56ef7784a4d894a71e6411871c65ce2d93c76f176a591636f444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01862",
    "kind": "arxiv",
    "version": 1
  }
}