Pith Number

pith:2QEZXR37

pith:2011:2QEZXR373GEYYRIXCF7KYKVDB6

not attested not anchored not stored refs pending

Upper bounds for continuous seminorms and special properties of bilinear maps

Helge Glockner

arxiv:1112.1824 v3 · 2011-12-08 · 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{2QEZXR373GEYYRIXCF7KYKVDB6}

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	2026-05-18T03:55:24.668491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4099bc77fd9898c4517117eac2aa30f87d3ab92c7fdd95c31c291911a92742b

Aliases

arxiv: 1112.1824 · arxiv_version: 1112.1824v3 · doi: 10.48550/arxiv.1112.1824 · pith_short_12: 2QEZXR373GEY · pith_short_16: 2QEZXR373GEYYRIX · pith_short_8: 2QEZXR37

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/2QEZXR373GEYYRIXCF7KYKVDB6 \
  | 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: d4099bc77fd9898c4517117eac2aa30f87d3ab92c7fdd95c31c291911a92742b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b72eda13cef6ff3f148e2eab886bc8d929ed6e2d19cffae9bce669d4dc39df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-08T13:04:19Z",
    "title_canon_sha256": "cdc3197fc6440cd948ebed402720cb5dbf6611aba2ed59804a1c6f8796495304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1824",
    "kind": "arxiv",
    "version": 3
  }
}