Pith Number

pith:FWZNEJBT

pith:2007:FWZNEJBTF32JPLMOAYQW6VKFNK

not attested not anchored not stored refs pending

Frames of subspaces and operators

Demetrio Stojanoff, Mariano A. Ruiz

arxiv:0706.1484 v2 · 2007-06-11 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWZNEJBTF32JPLMOAYQW6VKFNK}

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	2026-05-18T04:09:16.263349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db2d224332ef497ad8e06216f55456aa779028d223537936e372b4af5027022

Aliases

arxiv: 0706.1484 · arxiv_version: 0706.1484v2 · doi: 10.48550/arxiv.0706.1484 · pith_short_12: FWZNEJBTF32J · pith_short_16: FWZNEJBTF32JPLMO · pith_short_8: FWZNEJBT

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/FWZNEJBTF32JPLMOAYQW6VKFNK \
  | 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: 2db2d224332ef497ad8e06216f55456aa779028d223537936e372b4af5027022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1168d7a43c7b237047e7af39a94387ef777c345a30059d7f99af98b2033e6582",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-06-11T14:30:40Z",
    "title_canon_sha256": "0cc65e5e6e4928996227f3490f3e4d613a8ea19ae7515c023e39aaa0d71db666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1484",
    "kind": "arxiv",
    "version": 2
  }
}