Pith Number

pith:OUY7PAKR

pith:2013:OUY7PAKR7RA5DERRRVYBSTIYU2

not attested not anchored not stored refs pending

Boundedness of Functions on Product Spaces by Sums of Functions on the Factors

Alexander Dirmeier, Stefan Born

arxiv:1401.0130 v1 · 2013-12-31 · math.GN · 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{OUY7PAKR7RA5DERRRVYBSTIYU2}

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	2026-05-18T03:03:30.955970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7531f78151fc41d192318d70194d18a6aa70bcb6b81afd99bbe69a84069c1afe

Aliases

arxiv: 1401.0130 · arxiv_version: 1401.0130v1 · doi: 10.48550/arxiv.1401.0130 · pith_short_12: OUY7PAKR7RA5 · pith_short_16: OUY7PAKR7RA5DERR · pith_short_8: OUY7PAKR

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/OUY7PAKR7RA5DERRRVYBSTIYU2 \
  | 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: 7531f78151fc41d192318d70194d18a6aa70bcb6b81afd99bbe69a84069c1afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e846104325222991a9a9b341cd50b169c30268d992d8751e9d08f90b40356586",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-12-31T11:16:46Z",
    "title_canon_sha256": "778a32c423d22ea2d1a5a5ffcfda18d74cad7ae6f5efb3ccd499bed7541e2356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0130",
    "kind": "arxiv",
    "version": 1
  }
}