Pith Number

pith:Y4T2LZGW

pith:2015:Y4T2LZGWOW3AM2KDBOM44C5YSA

not attested not anchored not stored refs pending

Some Hilbert Spaces related with the Dirichlet space

Giulia Sarfatti, Karl-Mikael Perfekt, Nicola Arcozzi, Pavel Mozolyako, Stefan Richter

arxiv:1512.07532 v3 · 2015-12-23 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4T2LZGWOW3AM2KDBOM44C5YSA}

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	2026-05-18T01:14:35.664886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c727a5e4d675b60669430b99ce0bb89008488a50d1eb3f2094516a6c1da1d1ed

Aliases

arxiv: 1512.07532 · arxiv_version: 1512.07532v3 · doi: 10.48550/arxiv.1512.07532 · pith_short_12: Y4T2LZGWOW3A · pith_short_16: Y4T2LZGWOW3AM2KD · pith_short_8: Y4T2LZGW

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/Y4T2LZGWOW3AM2KDBOM44C5YSA \
  | 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: c727a5e4d675b60669430b99ce0bb89008488a50d1eb3f2094516a6c1da1d1ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e49bd386b23d62183a97123e00b7ccc3e4fb1edf3e100756e5a496eba9ae164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-12-23T16:24:22Z",
    "title_canon_sha256": "032ec450474e7418976c45163ffc7ff9b38d65b6a6a0de37c38955f98b360539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07532",
    "kind": "arxiv",
    "version": 3
  }
}