Pith Number

pith:FGLT4H7I

pith:2012:FGLT4H7ISCAZQHUEQU3OUA4H2V

not attested not anchored not stored refs pending

Frames and Bases in Tensor Product of Hilbert Spaces

Amir Khosravi, Mohammad Sadegh Asgari

arxiv:1204.0096 v1 · 2012-03-31 · 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{FGLT4H7ISCAZQHUEQU3OUA4H2V}

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	2026-05-18T03:58:50.421742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29973e1fe89081981e848536ea0387d54fb391c31082d846b1daac04e2b2c062

Aliases

arxiv: 1204.0096 · arxiv_version: 1204.0096v1 · doi: 10.48550/arxiv.1204.0096 · pith_short_12: FGLT4H7ISCAZ · pith_short_16: FGLT4H7ISCAZQHUE · pith_short_8: FGLT4H7I

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/FGLT4H7ISCAZQHUEQU3OUA4H2V \
  | 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: 29973e1fe89081981e848536ea0387d54fb391c31082d846b1daac04e2b2c062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c1c96b0f39cea13c96c1cd6c28b0559e44affe3b39f48498941f17ee935f98f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-31T12:50:59Z",
    "title_canon_sha256": "1ae125e0896ab50517c977e37205a23371421f0462fb3366bb18c93dd3ce38dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0096",
    "kind": "arxiv",
    "version": 1
  }
}