Pith Number

pith:KFZUJXAD

pith:2014:KFZUJXADVJV2QFYORXBXGXC7XQ

not attested not anchored not stored refs pending

Neighborhoods on the Grasmannian of marginals with bounded isotropic constant

Grigoris Paouris, Petros Valettas

arxiv:1404.4988 v1 · 2014-04-19 · 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{KFZUJXADVJV2QFYORXBXGXC7XQ}

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	2026-05-18T02:53:52.317128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517344dc03aa6ba8170e8dc3735c5fbc276c879afa6c538c852d72ec3c540e50

Aliases

arxiv: 1404.4988 · arxiv_version: 1404.4988v1 · doi: 10.48550/arxiv.1404.4988 · pith_short_12: KFZUJXADVJV2 · pith_short_16: KFZUJXADVJV2QFYO · pith_short_8: KFZUJXAD

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/KFZUJXADVJV2QFYORXBXGXC7XQ \
  | 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: 517344dc03aa6ba8170e8dc3735c5fbc276c879afa6c538c852d72ec3c540e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d637fc4e314d6f29036d5c503657b828bce4e5e7d180548f94c7a5e1ec2c62e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-19T21:28:42Z",
    "title_canon_sha256": "a742c41fb84977d6a5a72d005c26c1da040953a281d7b93364c6aa93bb76afbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4988",
    "kind": "arxiv",
    "version": 1
  }
}