Pith Number

pith:IRPEEA7N

pith:2025:IRPEEA7NDIKHY2NRHT6LE6EWYK

not attested not anchored not stored refs pending

Formalizing Schwartz functions and tempered distributions

Moritz Doll

arxiv:2510.24060 v2 · 2025-10-28 · cs.LO · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRPEEA7NDIKHY2NRHT6LE6EWYK}

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.

Cited by

1 paper in Pith

Formalization of De Giorgi--Nash--Moser Theory in Lean

Receipt and verification

First computed	2026-06-10T01:09:45.832935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

445e4203ed1a147c69b13cfcb27896c2ae5f7e3e9a47c31d2aab6ebfd51a5067

Aliases

arxiv: 2510.24060 · arxiv_version: 2510.24060v2 · doi: 10.48550/arxiv.2510.24060 · pith_short_12: IRPEEA7NDIKH · pith_short_16: IRPEEA7NDIKHY2NR · pith_short_8: IRPEEA7N

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/IRPEEA7NDIKHY2NRHT6LE6EWYK \
  | 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: 445e4203ed1a147c69b13cfcb27896c2ae5f7e3e9a47c31d2aab6ebfd51a5067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a9eda2c0b0f292446ca217714c4b28fa3f2c3d994b0adbfab27fa5284bf0ea5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-10-28T04:44:18Z",
    "title_canon_sha256": "31ecbfa84ee053c7cc034dcd90ad14017e9cd46bdfaa21867f0079c1f5c8b0e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.24060",
    "kind": "arxiv",
    "version": 2
  }
}