Pith Number

pith:4T5TJ3DS

pith:2014:4T5TJ3DSEJQZD2TVF7TOYJB75I

not attested not anchored not stored refs pending

Approximation by boolean sums of Jackson operators on the sphere

Feilong Cao, Yuguang Wang

arxiv:1409.3923 v1 · 2014-09-13 · 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{4T5TJ3DSEJQZD2TVF7TOYJB75I}

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	2026-05-18T02:42:53.376764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4fb34ec72226191ea752fe6ec243fea35a059a86056ef572b11aaf5f1ee1501

Aliases

arxiv: 1409.3923 · arxiv_version: 1409.3923v1 · doi: 10.48550/arxiv.1409.3923 · pith_short_12: 4T5TJ3DSEJQZ · pith_short_16: 4T5TJ3DSEJQZD2TV · pith_short_8: 4T5TJ3DS

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/4T5TJ3DSEJQZD2TVF7TOYJB75I \
  | 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: e4fb34ec72226191ea752fe6ec243fea35a059a86056ef572b11aaf5f1ee1501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f734cb0fcf0d48f7ccb2034c104f348da48feb66ab5be7c1b75bd953359ba0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-13T07:39:33Z",
    "title_canon_sha256": "da72c550a7fcdffd6f89acbe5abb51cbc9f87b4e64dbfb4f43505d22fef99747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3923",
    "kind": "arxiv",
    "version": 1
  }
}