Pith Number

pith:C4NUOSMD

pith:2017:C4NUOSMDLX4IECE3WUMJKBTEMU

not attested not anchored not stored refs pending

Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations

Emanuele Bottazzi

arxiv:1704.00470 v2 · 2017-04-03 · 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{C4NUOSMDLX4IECE3WUMJKBTEMU}

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	2026-05-17T23:40:49.922724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171b4749835df882089bb518950664653d92ca823e8046f797f64fbf16971e99

Aliases

arxiv: 1704.00470 · arxiv_version: 1704.00470v2 · doi: 10.48550/arxiv.1704.00470 · pith_short_12: C4NUOSMDLX4I · pith_short_16: C4NUOSMDLX4IECE3 · pith_short_8: C4NUOSMD

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/C4NUOSMDLX4IECE3WUMJKBTEMU \
  | 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: 171b4749835df882089bb518950664653d92ca823e8046f797f64fbf16971e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611c4fabd28bb121ce4b0583b2c1ab96ec846c99987a31a9536a424a647260ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-03T08:35:46Z",
    "title_canon_sha256": "0944ea4fd3ac7a12884b5dcd51341a0e071f1d4c60f2b07041a85dac3e83dbca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00470",
    "kind": "arxiv",
    "version": 2
  }
}