Pith Number

pith:TJ727D3D

pith:2020:TJ727D3DTPKRS2JDKIQI5C472A

not attested not anchored not stored refs pending

Integral representation and supports of functionals on Lipschitz spaces

Eva Perneck\'a, Ram\'on J. Aliaga

arxiv:2009.07663 v3 · 2020-09-16 · 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{TJ727D3DTPKRS2JDKIQI5C472A}

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	2026-07-05T04:05:10.120529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a7faf8f639bd519692352208e8b9fd006253c2d66490896011b41ef6010477a

Aliases

arxiv: 2009.07663 · arxiv_version: 2009.07663v3 · doi: 10.48550/arxiv.2009.07663 · pith_short_12: TJ727D3DTPKR · pith_short_16: TJ727D3DTPKRS2JD · pith_short_8: TJ727D3D

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/TJ727D3DTPKRS2JDKIQI5C472A \
  | 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: 9a7faf8f639bd519692352208e8b9fd006253c2d66490896011b41ef6010477a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da525a9b6aa79e44ebcfb90166a0f9abd591e2f45886ef18b2df7aa4fd06c9e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-09-16T13:04:19Z",
    "title_canon_sha256": "6ad0d42f569d24b164801a33eae899cd5883c3d4dd808b9874360829548e3aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07663",
    "kind": "arxiv",
    "version": 3
  }
}