Pith Number

pith:ENEZXQJY

pith:2017:ENEZXQJYKNNRRMPKT4TZIFKGRK

not attested not anchored not stored refs pending

Approximation by convolutions with probability densities and applications to PDEs

Sorin G. Gal

arxiv:1702.08499 v2 · 2017-02-15 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENEZXQJYKNNRRMPKT4TZIFKGRK}

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	2026-05-18T00:35:13.803977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23499bc138535b18b1ea9f279415468a966125ed8d58f5d155c00b04f01763cc

Aliases

arxiv: 1702.08499 · arxiv_version: 1702.08499v2 · doi: 10.48550/arxiv.1702.08499 · pith_short_12: ENEZXQJYKNNR · pith_short_16: ENEZXQJYKNNRRMPK · pith_short_8: ENEZXQJY

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/ENEZXQJYKNNRRMPKT4TZIFKGRK \
  | 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: 23499bc138535b18b1ea9f279415468a966125ed8d58f5d155c00b04f01763cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c548ae3de8ecf461f8077ca62e5e5f75eae53fe5ef50081df88ee290f28b4c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-15T10:21:43Z",
    "title_canon_sha256": "caaf6372f9069bcc50662674467a4f48921c53fa407f3f577bbd0fa175b57a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08499",
    "kind": "arxiv",
    "version": 2
  }
}