Pith Number

pith:NO2HJCXG

pith:2015:NO2HJCXGDY4XYL5HGDBGGCSPA5

not attested not anchored not stored refs pending

Hadamard gap series in weighted-type spaces on the unit ball

Bingyang Hu, Songxiao Li

arxiv:1508.07475 v1 · 2015-08-29 · math.CV · 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{NO2HJCXGDY4XYL5HGDBGGCSPA5}

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	2026-05-18T00:47:15.825951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb4748ae61e397c2fa730c2630a4f07643db757386ebe92e018f98522ce1357

Aliases

arxiv: 1508.07475 · arxiv_version: 1508.07475v1 · doi: 10.48550/arxiv.1508.07475 · pith_short_12: NO2HJCXGDY4X · pith_short_16: NO2HJCXGDY4XYL5H · pith_short_8: NO2HJCXG

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/NO2HJCXGDY4XYL5HGDBGGCSPA5 \
  | 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: 6bb4748ae61e397c2fa730c2630a4f07643db757386ebe92e018f98522ce1357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca1e3a4f8d81ccf4d79010904d1825e357f289e295430e38b28c7fb0ee0fd52",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-08-29T16:41:34Z",
    "title_canon_sha256": "c6584de841bdf343d4f25d5a51e4ffa68803cf362417fe685971ec2ebd29c93b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07475",
    "kind": "arxiv",
    "version": 1
  }
}