Pith Number

pith:UXL5BPPA

pith:2013:UXL5BPPAV3O23X6YS2FPWWQSDL

not attested not anchored not stored refs pending

A real seminorm with square property is submultiplicative

M. El Azhari

arxiv:1301.2213 v1 · 2013-01-10 · 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{UXL5BPPAV3O23X6YS2FPWWQSDL}

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	2026-05-18T03:03:32.414771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d7d0bde0aeddaddfd8968afb5a121ac43beb84e856bc151d07e10d116af624

Aliases

arxiv: 1301.2213 · arxiv_version: 1301.2213v1 · doi: 10.48550/arxiv.1301.2213 · pith_short_12: UXL5BPPAV3O2 · pith_short_16: UXL5BPPAV3O23X6Y · pith_short_8: UXL5BPPA

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/UXL5BPPAV3O23X6YS2FPWWQSDL \
  | 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: a5d7d0bde0aeddaddfd8968afb5a121ac43beb84e856bc151d07e10d116af624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044261c1eb1fb594380a851d71b9536376e124dee1a50ce5c6d291b0b5b3606b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-10T18:46:20Z",
    "title_canon_sha256": "5bd2456e4081b8d977a2e6c26edcfbe8fad88f8f44eef0034264620b5d8b3d40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2213",
    "kind": "arxiv",
    "version": 1
  }
}