Pith Number

pith:NXJ76IHE

pith:2012:NXJ76IHE5ZPHKFYBX7QYIQONTG

not attested not anchored not stored refs pending

On multipliers of mixed-norm analytic F^{p,q} type spaces on the unit polydisk

Milos Arsenovic, Romi Shamoyan

arxiv:1203.0746 v2 · 2012-03-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXJ76IHE5ZPHKFYBX7QYIQONTG}

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	2026-05-18T03:43:52.540370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd3ff20e4ee5e751701bfe18441cd999b0cc049ad940a46f049fb002f3be105

Aliases

arxiv: 1203.0746 · arxiv_version: 1203.0746v2 · doi: 10.48550/arxiv.1203.0746 · pith_short_12: NXJ76IHE5ZPH · pith_short_16: NXJ76IHE5ZPHKFYB · pith_short_8: NXJ76IHE

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/NXJ76IHE5ZPHKFYBX7QYIQONTG \
  | 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: 6dd3ff20e4ee5e751701bfe18441cd999b0cc049ad940a46f049fb002f3be105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45165cee953a2df00fff37e7608f0f907190baa1132d268a01f036962636e71b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-04T16:09:01Z",
    "title_canon_sha256": "1f59a88b26f4cac7db86bb215fefafb176eb12a2625cbda32e32688316858083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0746",
    "kind": "arxiv",
    "version": 2
  }
}