Pith Number

pith:OATEBQKT

pith:2012:OATEBQKTQGPKBWGJZNYISMLQAF

not attested not anchored not stored refs pending

Maximal and quadratic Gaussian Hardy spaces

Pierre Portal

arxiv:1203.1998 v2 · 2012-03-09 · 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{OATEBQKTQGPKBWGJZNYISMLQAF}

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	2026-05-18T03:54:38.988874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

702640c153819ea0d8c9cb708931700155ff7119226fba5715851e0007b1c196

Aliases

arxiv: 1203.1998 · arxiv_version: 1203.1998v2 · doi: 10.48550/arxiv.1203.1998 · pith_short_12: OATEBQKTQGPK · pith_short_16: OATEBQKTQGPKBWGJ · pith_short_8: OATEBQKT

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/OATEBQKTQGPKBWGJZNYISMLQAF \
  | 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: 702640c153819ea0d8c9cb708931700155ff7119226fba5715851e0007b1c196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc37ccf1cf930bdb626cd425193c025659cd1222f365989f49f5521f0adbd628",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-09T06:22:55Z",
    "title_canon_sha256": "9c10d296b8cf4d25b1d48ee06bee4884800d8e90d975558b4827244316b0b51b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1998",
    "kind": "arxiv",
    "version": 2
  }
}