Pith Number

pith:T63UKJEK

pith:2015:T63UKJEKUGOPBASKP5S7O7GYXP

not attested not anchored not stored refs pending

$\mathcal{N}_p$-type functions with Hadamard gaps in the unit ball

Bingyang Hu, Songxiao Li

arxiv:1509.01455 v1 · 2015-09-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T63UKJEKUGOPBASKP5S7O7GYXP}

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	2026-05-18T01:33:57.652456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb745248aa19cf0824a7f65f77cd8bbe8952c8f16592fdd3d00a51fe68bb4ef

Aliases

arxiv: 1509.01455 · arxiv_version: 1509.01455v1 · doi: 10.48550/arxiv.1509.01455 · pith_short_12: T63UKJEKUGOP · pith_short_16: T63UKJEKUGOPBASK · pith_short_8: T63UKJEK

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/T63UKJEKUGOPBASKP5S7O7GYXP \
  | 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: 9fb745248aa19cf0824a7f65f77cd8bbe8952c8f16592fdd3d00a51fe68bb4ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c0cfa436580115224ad80d14fd006db553eb0926d981df615c03cf3146afb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-04T14:03:00Z",
    "title_canon_sha256": "f7a9fce3c6e55fecffbb451fe505c3c0af17db6e23428ef1ed499cae62ab716a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01455",
    "kind": "arxiv",
    "version": 1
  }
}