Pith Number

pith:6VU3DX7Z

pith:2018:6VU3DX7ZAN3HIZ6STW54HSVASW

not attested not anchored not stored refs pending

Almost everywhere divergence of spherical harmonic expansions and equivalence of summation methods

Dashan Fan, Juan Zhang, Xianghong Chen

arxiv:1806.03727 v1 · 2018-06-10 · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VU3DX7ZAN3HIZ6STW54HSVASW}

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	2026-05-18T00:13:42.208075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f569b1dff903767467d29dbbc3caa09598fc42528b7b4d2b2dc3e48380e53c05

Aliases

arxiv: 1806.03727 · arxiv_version: 1806.03727v1 · doi: 10.48550/arxiv.1806.03727 · pith_short_12: 6VU3DX7ZAN3H · pith_short_16: 6VU3DX7ZAN3HIZ6S · pith_short_8: 6VU3DX7Z

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/6VU3DX7ZAN3HIZ6STW54HSVASW \
  | 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: f569b1dff903767467d29dbbc3caa09598fc42528b7b4d2b2dc3e48380e53c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7cd59d8ccb849d43cf4185a4e989f998443154655f993a4324056ccfde21bf9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-06-10T21:12:43Z",
    "title_canon_sha256": "5df2dfc3f2810541a4c4b043c80594110ee2cde42d6cebbf58f574f7eced0419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03727",
    "kind": "arxiv",
    "version": 1
  }
}