Pith Number

pith:GMM54JA6

pith:2012:GMM54JA6NHCKYYZ6QBS64VLMGT

not attested not anchored not stored refs pending

New Characterizations of Fusion Bases and Riesz Fusion Bases in Hilbert Spaces

Mohammad Sadegh Asgari

arxiv:1203.6279 v1 · 2012-03-28 · 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{GMM54JA6NHCKYYZ6QBS64VLMGT}

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	2026-05-18T03:59:03.721106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3319de241e69c4ac633e8065ee556c34cb324f2b6135ea50b2342adc9bf67979

Aliases

arxiv: 1203.6279 · arxiv_version: 1203.6279v1 · doi: 10.48550/arxiv.1203.6279 · pith_short_12: GMM54JA6NHCK · pith_short_16: GMM54JA6NHCKYYZ6 · pith_short_8: GMM54JA6

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/GMM54JA6NHCKYYZ6QBS64VLMGT \
  | 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: 3319de241e69c4ac633e8065ee556c34cb324f2b6135ea50b2342adc9bf67979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a672c3d6647242ad05e846e35bd88b99017b88e003b05997a6db4029c5cd190f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-28T14:22:00Z",
    "title_canon_sha256": "e1a430fde7869ab2f6ad0bea0e8f81a7b55059e1a4ffcaa54c41fefe91a56915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6279",
    "kind": "arxiv",
    "version": 1
  }
}