Pith Number

pith:DPEMDSM4

pith:2015:DPEMDSM4HL7EN3BQ5VTFN2IODE

not attested not anchored not stored refs pending

The Distributions of Hilbert Space Frame Vectors and Frame Coefficients

Eric Pinkham, Kevin Brewster, Lindsey Woodland, Peter G. Casazza

arxiv:1504.03722 v1 · 2015-04-14 · 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{DPEMDSM4HL7EN3BQ5VTFN2IODE}

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	2026-05-18T02:18:42.291948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bc8c1c99c3afe46ec30ed6656e90e19139706b016ba2e02366692c370cdb42a

Aliases

arxiv: 1504.03722 · arxiv_version: 1504.03722v1 · doi: 10.48550/arxiv.1504.03722 · pith_short_12: DPEMDSM4HL7E · pith_short_16: DPEMDSM4HL7EN3BQ · pith_short_8: DPEMDSM4

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/DPEMDSM4HL7EN3BQ5VTFN2IODE \
  | 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: 1bc8c1c99c3afe46ec30ed6656e90e19139706b016ba2e02366692c370cdb42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076f400caf437f83aa4d3e864013ed210c60b3e24a657f8d0624f015246d3c1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-14T21:00:31Z",
    "title_canon_sha256": "3ab2e2a46a804d4885870ea9ad6bf806e64a4a8b6e8d5ab8460ead0a1a6eda02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03722",
    "kind": "arxiv",
    "version": 1
  }
}