Pith Number

pith:IQL4EQ5R

pith:2016:IQL4EQ5R4ASQFVCQJI4KSPI4ZN

not attested not anchored not stored refs pending

Singular values of weighted composition operators and second quantization

James E. Tener, Mihai Putinar

arxiv:1612.03970 v1 · 2016-12-12 · 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{IQL4EQ5R4ASQFVCQJI4KSPI4ZN}

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	2026-05-17T23:59:18.195474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4417c243b1e02502d4504a38a93d1ccb727cfecf874a701cc10e17096ad21cb8

Aliases

arxiv: 1612.03970 · arxiv_version: 1612.03970v1 · doi: 10.48550/arxiv.1612.03970 · pith_short_12: IQL4EQ5R4ASQ · pith_short_16: IQL4EQ5R4ASQFVCQ · pith_short_8: IQL4EQ5R

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/IQL4EQ5R4ASQFVCQJI4KSPI4ZN \
  | 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: 4417c243b1e02502d4504a38a93d1ccb727cfecf874a701cc10e17096ad21cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f7bd4dc8c88fda6c24119befc0aa1e4930d1afdd0e7977757c1a925d1e753b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-12T23:34:05Z",
    "title_canon_sha256": "1e6a0e6d342194f3ae1240146bf6938106a15212db5fcb1274d6643d9dbd77cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03970",
    "kind": "arxiv",
    "version": 1
  }
}