Pith Number

pith:AREQNCLY

pith:2013:AREQNCLYAWXL2OMBGPEKBFZR3D

not attested not anchored not stored refs pending

Distributions of Angles in Random Packing on Spheres

Jianqing Fan, Tiefeng Jiang, Tony Cai

arxiv:1306.0256 v1 · 2013-06-02 · math.ST · 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{AREQNCLYAWXL2OMBGPEKBFZR3D}

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	2026-05-18T03:21:55.671127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

044906897805aebd398133c8a09731d8db0ccb13de35816927a159c4b9cac277

Aliases

arxiv: 1306.0256 · arxiv_version: 1306.0256v1 · doi: 10.48550/arxiv.1306.0256 · pith_short_12: AREQNCLYAWXL · pith_short_16: AREQNCLYAWXL2OMB · pith_short_8: AREQNCLY

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/AREQNCLYAWXL2OMBGPEKBFZR3D \
  | 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: 044906897805aebd398133c8a09731d8db0ccb13de35816927a159c4b9cac277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce34b08e5aedd5a87dc1cd11c947342d926e29350faf565d95a0d53bb47aa28b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-06-02T22:32:28Z",
    "title_canon_sha256": "f5a7be71d310b86d17033e0a0d4b73effbef3f8993b14603b02e6161a3d27707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0256",
    "kind": "arxiv",
    "version": 1
  }
}