Pith Number

pith:NGRUCNKX

pith:2015:NGRUCNKXOLCK3BNORQ4K6Z3F4V

not attested not anchored not stored refs pending

Differentiable positive definite functions on two-point homogeneous spaces

V. A. Menegatto, V. S. Barbosa

arxiv:1505.00029 v1 · 2015-04-29 · 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{NGRUCNKXOLCK3BNORQ4K6Z3F4V}

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	2026-05-18T02:17:13.801338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a341355772c4ad85ae8c38af6765e575a017a9535bc81bc170436bff21b968

Aliases

arxiv: 1505.00029 · arxiv_version: 1505.00029v1 · doi: 10.48550/arxiv.1505.00029 · pith_short_12: NGRUCNKXOLCK · pith_short_16: NGRUCNKXOLCK3BNO · pith_short_8: NGRUCNKX

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/NGRUCNKXOLCK3BNORQ4K6Z3F4V \
  | 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: 69a341355772c4ad85ae8c38af6765e575a017a9535bc81bc170436bff21b968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe9e09ee7a842a055b467ce3cfd1b99a501d45613ae303f692fc120852ea582d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-29T17:34:25Z",
    "title_canon_sha256": "f09cf983e228b54003d7e3958c3ae39a06d4e2e1bc7fd5ae47d4c2df0b0fb164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00029",
    "kind": "arxiv",
    "version": 1
  }
}