Pith Number

pith:QGNYFBND

pith:2015:QGNYFBNDHQBTYQYN4AC66RYCAE

not attested not anchored not stored refs pending

Operators in tight by support Banach spaces

Anna Pelczar-Barwacz, Antonis Manoussakis

arxiv:1504.02701 v2 · 2015-04-10 · 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{QGNYFBNDHQBTYQYN4AC66RYCAE}

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	2026-05-18T01:20:56.048464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819b8285a33c033c430de005ef470201145b00a92e7bb33fc7f6776fea311ef5

Aliases

arxiv: 1504.02701 · arxiv_version: 1504.02701v2 · doi: 10.48550/arxiv.1504.02701 · pith_short_12: QGNYFBNDHQBT · pith_short_16: QGNYFBNDHQBTYQYN · pith_short_8: QGNYFBND

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/QGNYFBNDHQBTYQYN4AC66RYCAE \
  | 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: 819b8285a33c033c430de005ef470201145b00a92e7bb33fc7f6776fea311ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e37fd914ea43d7b10b29b2b94437e9f1fc08e75d892eedbbe0c20c5f757703",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-10T15:02:46Z",
    "title_canon_sha256": "ad10ae641c5672ea5fc11648e94b928b128a41f6031741c540c743d07ea059bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02701",
    "kind": "arxiv",
    "version": 2
  }
}