Pith Number

pith:7NUAVNNO

pith:2018:7NUAVNNOYORIFRTIESE6BOUZEH

not attested not anchored not stored refs pending

Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality

Aparajita Dasgupta, Michael Ruzhansky

arxiv:1812.01283 v1 · 2018-12-04 · math.FA · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NUAVNNOYORIFRTIESE6BOUZEH}

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	2026-05-17T23:59:12.881980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb680ab5aec3a282c6682489e0ba9921d11ddcedac7d551a9fa10a5c2462e831

Aliases

arxiv: 1812.01283 · arxiv_version: 1812.01283v1 · doi: 10.48550/arxiv.1812.01283 · pith_short_12: 7NUAVNNOYORI · pith_short_16: 7NUAVNNOYORIFRTI · pith_short_8: 7NUAVNNO

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/7NUAVNNOYORIFRTIESE6BOUZEH \
  | 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: fb680ab5aec3a282c6682489e0ba9921d11ddcedac7d551a9fa10a5c2462e831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e388042b9d067429ee06089aef00292d0b25a2703cdc9910f6c8c9524e6709",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-04T09:04:56Z",
    "title_canon_sha256": "ca5b7e0baab529e1681bd9da8a2b7a7ed56b65de4a0fa508d6e7336306a93eae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01283",
    "kind": "arxiv",
    "version": 1
  }
}