Pith Number

pith:QH7ESYJA

pith:2011:QH7ESYJACJKEN4D73ITU7NPHS7

not attested not anchored not stored refs pending

Another Direct Proof of Oka's Theorem (Oka IX)

Junjiro Noguchi

arxiv:1108.2078 v1 · 2011-08-10 · 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{QH7ESYJACJKEN4D73ITU7NPHS7}

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	2026-05-18T04:15:49.420361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81fe496120125446f07fda274fb5e797ff28b5264ad1721a8fab07ea47054003

Aliases

arxiv: 1108.2078 · arxiv_version: 1108.2078v1 · doi: 10.48550/arxiv.1108.2078 · pith_short_12: QH7ESYJACJKE · pith_short_16: QH7ESYJACJKEN4D7 · pith_short_8: QH7ESYJA

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/QH7ESYJACJKEN4D73ITU7NPHS7 \
  | 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: 81fe496120125446f07fda274fb5e797ff28b5264ad1721a8fab07ea47054003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79720f467170dc45417b795e9c3f525b06141261363f42b6127551567fff8403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-08-10T01:34:55Z",
    "title_canon_sha256": "9f41c82f8147e0ba0cbe52948fd486a0010f5b75068e6fcadc0d58a04e80e271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2078",
    "kind": "arxiv",
    "version": 1
  }
}