Pith Number

pith:LAK2AVTW

pith:2012:LAK2AVTWJM4EYANSW7KJQUNMEN

not attested not anchored not stored refs pending

Dependence of Kolmogorov widths on the ambient space

Mikhail Ostrovskii, Timur Oikhberg

arxiv:1205.0095 v1 · 2012-05-01 · 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{LAK2AVTWJM4EYANSW7KJQUNMEN}

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	2026-05-18T03:32:45.269385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5815a056764b384c01b2b7d49851ac23760b8a23b2884300cbd565f275fd33ed

Aliases

arxiv: 1205.0095 · arxiv_version: 1205.0095v1 · doi: 10.48550/arxiv.1205.0095 · pith_short_12: LAK2AVTWJM4E · pith_short_16: LAK2AVTWJM4EYANS · pith_short_8: LAK2AVTW

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/LAK2AVTWJM4EYANSW7KJQUNMEN \
  | 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: 5815a056764b384c01b2b7d49851ac23760b8a23b2884300cbd565f275fd33ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6057c5c2f6cc00ae7132de8f309c599760cbd8b4a74c5ccb03997a5d5a96904b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-01T05:33:50Z",
    "title_canon_sha256": "4009c5275e29631264104a0be2d0e5ba00f75f6633429efea697a20792d6d3a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0095",
    "kind": "arxiv",
    "version": 1
  }
}