Pith Number

pith:RV5O6HSE

pith:2011:RV5O6HSESL7F3ZNVKSR62NAUVG

not attested not anchored not stored refs pending

Kolmogorov and Linear Widths of Balls in Sobolev and Besov Norms on Compact Manifolds

Daryl Geller, Isaac Pesenson

arxiv:1104.0632 v2 · 2011-04-04 · 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{RV5O6HSESL7F3ZNVKSR62NAUVG}

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	2026-05-18T02:27:19.259084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d7aef1e4492fe5de5b554a3ed3414a9b36ae732df3a2e9cabf21ad7103f2c8e

Aliases

arxiv: 1104.0632 · arxiv_version: 1104.0632v2 · doi: 10.48550/arxiv.1104.0632 · pith_short_12: RV5O6HSESL7F · pith_short_16: RV5O6HSESL7F3ZNV · pith_short_8: RV5O6HSE

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/RV5O6HSESL7F3ZNVKSR62NAUVG \
  | 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: 8d7aef1e4492fe5de5b554a3ed3414a9b36ae732df3a2e9cabf21ad7103f2c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b8ba30792c7020a145922a9564c55856d688c60ad500efde32b6cdc294ec7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-04T17:24:32Z",
    "title_canon_sha256": "054395755b5558823e2975246750ea133115aea2ad6b9e927b3e717a8fb57713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0632",
    "kind": "arxiv",
    "version": 2
  }
}