Pith Number

pith:ZFQDIXGB

pith:2022:ZFQDIXGBXKPANTSZ6DSMBCHN2H

not attested not anchored not stored refs pending

Banach spaces which always produce octahedral spaces of operators

Abraham Rueda Zoca

arxiv:2207.08717 v2 · 2022-07-18 · 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{ZFQDIXGBXKPANTSZ6DSMBCHN2H}

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	2026-07-05T05:24:12.884730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c960345cc1ba9e06ce59f0e4c088edd1e6af0b93841257dc36bebbd265df85ce

Aliases

arxiv: 2207.08717 · arxiv_version: 2207.08717v2 · doi: 10.48550/arxiv.2207.08717 · pith_short_12: ZFQDIXGBXKPA · pith_short_16: ZFQDIXGBXKPANTSZ · pith_short_8: ZFQDIXGB

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/ZFQDIXGBXKPANTSZ6DSMBCHN2H \
  | 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: c960345cc1ba9e06ce59f0e4c088edd1e6af0b93841257dc36bebbd265df85ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903d59615b0cea178bf3a9349e1e79ddc6ffa60cb8cbdea9c097a48f30b619ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-07-18T16:02:43Z",
    "title_canon_sha256": "7cd07318c32446f2cda7541419d912f820470c2432d15c4f0bf4b8ac3dbd7231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08717",
    "kind": "arxiv",
    "version": 2
  }
}