Pith Number

pith:JMW2MQER

pith:2014:JMW2MQERU5PECQHIC377LB6VNA

not attested not anchored not stored refs pending

Time-Frequency Localization Operators and a Berezin Transform

Dominik Bayer, Karlheinz Gr\"ochenig

arxiv:1407.4321 v1 · 2014-07-16 · 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{JMW2MQERU5PECQHIC377LB6VNA}

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	2026-05-18T00:42:08.044530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b2da64091a75e4140e816fff587d5682fb361193fc2dc3ef604d404cebfff1b

Aliases

arxiv: 1407.4321 · arxiv_version: 1407.4321v1 · doi: 10.48550/arxiv.1407.4321 · pith_short_12: JMW2MQERU5PE · pith_short_16: JMW2MQERU5PECQHI · pith_short_8: JMW2MQER

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/JMW2MQERU5PECQHIC377LB6VNA \
  | 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: 4b2da64091a75e4140e816fff587d5682fb361193fc2dc3ef604d404cebfff1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87a453a5aa1b84d518eeaf2af7469951b444645ac4c375242d31865ef71aa31c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-16T14:23:47Z",
    "title_canon_sha256": "ad0e4b0f6e741a0cd85a4f8606d8418edfdeeb2357354112c27fe8d4b2e8ea0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4321",
    "kind": "arxiv",
    "version": 1
  }
}