Pith Number

pith:RJ7M36VH

pith:2017:RJ7M36VHZFG2UWWPJB6CPRFOPQ

not attested not anchored not stored refs pending

Positive Definite Functions on Complex Spheres and their Walks through Dimensions

Ana Paula Peron, Emilio Porcu, Eugenio Massa

arxiv:1704.01237 v2 · 2017-04-05 · 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{RJ7M36VHZFG2UWWPJB6CPRFOPQ}

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	2026-05-17T23:50:50.704447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a7ecdfaa7c94daa5acf487c27c4ae7c1e0ebdd06429160c441d3e5e857cbcc1

Aliases

arxiv: 1704.01237 · arxiv_version: 1704.01237v2 · doi: 10.48550/arxiv.1704.01237 · pith_short_12: RJ7M36VHZFG2 · pith_short_16: RJ7M36VHZFG2UWWP · pith_short_8: RJ7M36VH

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/RJ7M36VHZFG2UWWPJB6CPRFOPQ \
  | 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: 8a7ecdfaa7c94daa5acf487c27c4ae7c1e0ebdd06429160c441d3e5e857cbcc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "026fe5e4336b8f01f47dfcc4ee09f7fd2ab708f10064ae0477b454cc146b128d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-04-05T01:31:29Z",
    "title_canon_sha256": "f32f3a29df9bce90de9f1d0d63004875b27402d830fb6e8cdb6b5a31ace77817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01237",
    "kind": "arxiv",
    "version": 2
  }
}