Pith Number

pith:IJI4TMZQ

pith:2010:IJI4TMZQR4D6EMQZNKBNEOUVDD

not attested not anchored not stored refs pending

$L_p$-nested symmetric distributions

Fabian Sinz, Matthias Bethge

arxiv:1008.0740 v1 · 2010-08-04 · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJI4TMZQR4D6EMQZNKBNEOUVDD}

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	2026-05-18T04:42:35.729449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4251c9b3308f07e232196a82d23a9518d0a6680358a2abe002aa136c7d3aa3d0

Aliases

arxiv: 1008.0740 · arxiv_version: 1008.0740v1 · doi: 10.48550/arxiv.1008.0740 · pith_short_12: IJI4TMZQR4D6 · pith_short_16: IJI4TMZQR4D6EMQZ · pith_short_8: IJI4TMZQ

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/IJI4TMZQR4D6EMQZNKBNEOUVDD \
  | 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: 4251c9b3308f07e232196a82d23a9518d0a6680358a2abe002aa136c7d3aa3d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcdbc9cbdcb496e2c4fd9e93bfdb57842487a469fb6509efec58ae566aee7a81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.OT",
    "submitted_at": "2010-08-04T10:44:30Z",
    "title_canon_sha256": "e32be19e67ef6b848a6adfb1353f2f66b5fd16a56b8de28e0f200cba09c458d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0740",
    "kind": "arxiv",
    "version": 1
  }
}