Pith Number

pith:3PFYKUYJ

pith:2021:3PFYKUYJODTFBLIBAVMUHTWZAA

not attested not anchored not stored refs pending

Statistical Inference on the Hilbert Sphere with Application to Random Densities

Xiongtao Dai

arxiv:2101.00527 v1 · 2021-01-02 · math.ST · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PFYKUYJODTFBLIBAVMUHTWZAA}

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	2026-07-05T02:04:19.518938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbcb85530970e650ad01055943ced90019bf7b25249f704b66a78970e2c7aa7e

Aliases

arxiv: 2101.00527 · arxiv_version: 2101.00527v1 · doi: 10.48550/arxiv.2101.00527 · pith_short_12: 3PFYKUYJODTF · pith_short_16: 3PFYKUYJODTFBLIB · pith_short_8: 3PFYKUYJ

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/3PFYKUYJODTFBLIBAVMUHTWZAA \
  | 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: dbcb85530970e650ad01055943ced90019bf7b25249f704b66a78970e2c7aa7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe393e989dba9bb27c9c0149ce878e8c38d8c045f48e354bfc384031c5f6662",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-01-02T22:52:14Z",
    "title_canon_sha256": "479fefaf2e171e4df3d5f6e2aa6a37e0f4a65ffb1b530990484cb9e143375046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.00527",
    "kind": "arxiv",
    "version": 1
  }
}