Pith Number

pith:Z5S7MFO5

pith:2017:Z5S7MFO5OGLGC5VVI6X6BBWXEM

not attested not anchored not stored refs pending

Frames, their relatives and reproducing kernel Hilbert spaces

Michael Speckbacher, Peter Balazs

arxiv:1704.02818 v2 · 2017-04-10 · 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{Z5S7MFO5OGLGC5VVI6X6BBWXEM}

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	2026-05-17T23:49:53.265396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf65f615dd71966176b547afe086d723236182ef99848a3683c51af664ec58ca

Aliases

arxiv: 1704.02818 · arxiv_version: 1704.02818v2 · doi: 10.48550/arxiv.1704.02818 · pith_short_12: Z5S7MFO5OGLG · pith_short_16: Z5S7MFO5OGLGC5VV · pith_short_8: Z5S7MFO5

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/Z5S7MFO5OGLGC5VVI6X6BBWXEM \
  | 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: cf65f615dd71966176b547afe086d723236182ef99848a3683c51af664ec58ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59277faab9c63340a1ca36eb12f982ca32409b9ec0ed6a62f0dee47473726ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-10T12:07:31Z",
    "title_canon_sha256": "a13ba06da2ee43db6136a31d1448737992fafbf382d2e243f45adbe6d8b16383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02818",
    "kind": "arxiv",
    "version": 2
  }
}