Pith Number

pith:KTYLZSRQ

pith:2013:KTYLZSRQPCMXQW3NDCRT7SVEYW

not attested not anchored not stored refs pending

High-dimensional $p$-norms

David D.M. Mason, DMA, G\'erard Biau (LSTA, INRIA Paris - Rocquencourt), LPMA

arxiv:1311.0587 v1 · 2013-11-04 · 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{KTYLZSRQPCMXQW3NDCRT7SVEYW}

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	2026-05-18T03:08:05.420523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f0bcca307899785b6d18a33fcaa4c5b4777c2cbd381dae3d5a345c12450b87

Aliases

arxiv: 1311.0587 · arxiv_version: 1311.0587v1 · doi: 10.48550/arxiv.1311.0587 · pith_short_12: KTYLZSRQPCMX · pith_short_16: KTYLZSRQPCMXQW3N · pith_short_8: KTYLZSRQ

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/KTYLZSRQPCMXQW3NDCRT7SVEYW \
  | 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: 54f0bcca307899785b6d18a33fcaa4c5b4777c2cbd381dae3d5a345c12450b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d00ab6069f861f50650f60a5c482803afde83663cd08dc6a6f6c085334d5f8",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-11-04T05:49:37Z",
    "title_canon_sha256": "eb4c6f3aaf40f917ce6176ea4514a07dc3177bf18c82276f9466747309d7f46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0587",
    "kind": "arxiv",
    "version": 1
  }
}