Pith Number

pith:Z2MIKKUP

pith:2017:Z2MIKKUPAJ6L7IWGLH74VGXSK5

not attested not anchored not stored refs pending

Weighted spherical means generated by generalized translation and general Euler-Poisson-Darboux equation

Elina Shishkina

arxiv:1703.06340 v1 · 2017-03-18 · 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{Z2MIKKUPAJ6L7IWGLH74VGXSK5}

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

Enhancing Factual Accuracy and Citation Generation in LLMs via Multi-Stage Self-Verification

Receipt and verification

First computed	2026-05-18T00:48:23.190066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce98852a8f027cbfa2c659ffca9af2575bb23298f5a61fec872a1438231a7bf1

Aliases

arxiv: 1703.06340 · arxiv_version: 1703.06340v1 · doi: 10.48550/arxiv.1703.06340 · pith_short_12: Z2MIKKUPAJ6L · pith_short_16: Z2MIKKUPAJ6L7IWG · pith_short_8: Z2MIKKUP

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/Z2MIKKUPAJ6L7IWGLH74VGXSK5 \
  | 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: ce98852a8f027cbfa2c659ffca9af2575bb23298f5a61fec872a1438231a7bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a25fd98f1180f6188192653fd771bce196bff76c75dea0902ae6d5668e18eed1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-18T19:53:28Z",
    "title_canon_sha256": "b8d849df17cd5c296c0f64bb214d18865f8d1ae07fedaa39086a38eec319601e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06340",
    "kind": "arxiv",
    "version": 1
  }
}