Pith Number

pith:T6PXEMXN

pith:2015:T6PXEMXN24SSHPEQ6K42LSL7F6

not attested not anchored not stored refs pending

Random version of Dvoretzky's theorem in $\ell_p^n$

Grigoris Paouris, Joel Zinn, Petros Valettas

arxiv:1510.07284 v2 · 2015-10-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6PXEMXN24SSHPEQ6K42LSL7F6}

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	2026-05-18T00:49:04.774999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9f7232edd72523bc90f2b9a5c97f2fadace05faa4ff4bbd578d1f52a90a8b4

Aliases

arxiv: 1510.07284 · arxiv_version: 1510.07284v2 · doi: 10.48550/arxiv.1510.07284 · pith_short_12: T6PXEMXN24SS · pith_short_16: T6PXEMXN24SSHPEQ · pith_short_8: T6PXEMXN

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/T6PXEMXN24SSHPEQ6K42LSL7F6 \
  | 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: 9f9f7232edd72523bc90f2b9a5c97f2fadace05faa4ff4bbd578d1f52a90a8b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac8e7cb640fc0ade5feb9f0a3dccabf74a6d60090ef2d6613f381b9d414ca594",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-25T18:49:20Z",
    "title_canon_sha256": "2d6dcc5b7db27810a09a87eb6f2f8985c74b60a0dd0484fc76b6877edb010c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07284",
    "kind": "arxiv",
    "version": 2
  }
}