Pith Number

pith:YKJUJDEO

pith:2017:YKJUJDEONQRC25ERCLAT64WVKY

not attested not anchored not stored refs pending

Dual pair and Approximate dual for continuous frames in Hilbert spaces

Asghar Rahimi, Bayaz Daraby, Zahra Darvishi

arxiv:1706.04003 v1 · 2017-06-13 · 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{YKJUJDEONQRC25ERCLAT64WVKY}

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	2026-05-18T00:42:24.764763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c293448c8e6c222d749112c13f72d55604446bd5e0343e450faaf19593d74cb5

Aliases

arxiv: 1706.04003 · arxiv_version: 1706.04003v1 · doi: 10.48550/arxiv.1706.04003 · pith_short_12: YKJUJDEONQRC · pith_short_16: YKJUJDEONQRC25ER · pith_short_8: YKJUJDEO

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/YKJUJDEONQRC25ERCLAT64WVKY \
  | 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: c293448c8e6c222d749112c13f72d55604446bd5e0343e450faaf19593d74cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "735d3257e90773bd7ddb020540311d154fa4fb3cb06f64f8058acc4a8fad7a6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-13T11:16:31Z",
    "title_canon_sha256": "67817418991be92a5ca6df520fcad4dd9ed241a1232bd056fedd5d0e32ce912b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04003",
    "kind": "arxiv",
    "version": 1
  }
}