Pith Number

pith:K7OODMKR

pith:2014:K7OODMKRKUV746FMZA2KRLQSWX

not attested not anchored not stored refs pending

Metric spaces admitting low-distortion embeddings into all $n$-dimensional Banach spaces

Beata Randrianantoanina, Mikhail I. Ostrovskii

arxiv:1412.7670 v2 · 2014-12-24 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7OODMKRKUV746FMZA2KRLQSWX}

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	2026-05-18T01:09:37.025575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dce1b151552bfe78acc834a8ae12b5fc89b2c3154468e900bd5576c3ac09a6

Aliases

arxiv: 1412.7670 · arxiv_version: 1412.7670v2 · doi: 10.48550/arxiv.1412.7670 · pith_short_12: K7OODMKRKUV7 · pith_short_16: K7OODMKRKUV746FM · pith_short_8: K7OODMKR

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/K7OODMKRKUV746FMZA2KRLQSWX \
  | 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: 57dce1b151552bfe78acc834a8ae12b5fc89b2c3154468e900bd5576c3ac09a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eedd463378bcb8dc4f9237b4f0dce7850a047ee576daae395730a200fd78d10",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-24T14:32:44Z",
    "title_canon_sha256": "a338ff146b600647ea49559a4b75df0e1e61c7e5edce60c55a92763730ad6383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7670",
    "kind": "arxiv",
    "version": 2
  }
}