Pith Number

pith:PRGVXGFY

pith:2016:PRGVXGFYPMXH6MXQRGM4I7WZNI

not attested not anchored not stored refs pending

A Fast Algorithm for the Moments of Bingham Distribution

Jie Xu, Pingwen Zhang, Yixiang Luo

arxiv:1612.01015 v1 · 2016-12-03 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRGVXGFYPMXH6MXQRGM4I7WZNI}

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	2026-05-18T00:29:52.000045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4d5b98b87b2e7f32f08999c47ed96a042412f843a6504beb28e82fcfe73fc8

Aliases

arxiv: 1612.01015 · arxiv_version: 1612.01015v1 · doi: 10.48550/arxiv.1612.01015 · pith_short_12: PRGVXGFYPMXH · pith_short_16: PRGVXGFYPMXH6MXQ · pith_short_8: PRGVXGFY

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/PRGVXGFYPMXH6MXQRGM4I7WZNI \
  | 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: 7c4d5b98b87b2e7f32f08999c47ed96a042412f843a6504beb28e82fcfe73fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7511d5af0e8c47aeb785ff2c0e010e74ec579219f4b48d8cdfb34b45459ad1bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-03T20:28:46Z",
    "title_canon_sha256": "6abf3a725816a8820009ec852e82321693b845596f48cb4e149792c87a3d7913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01015",
    "kind": "arxiv",
    "version": 1
  }
}