Pith Number

pith:OF4PZGLO

pith:2015:OF4PZGLOVMWHR3BEO7OBYILGVS

not attested not anchored not stored refs pending

Estimates of Kolmogorov, Gelfand and linear $n$- widths on Compact Riemannian Manifolds

Isaac Z. Pesenson

arxiv:1509.04320 v1 · 2015-08-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OF4PZGLOVMWHR3BEO7OBYILGVS}

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	2026-05-18T01:33:07.475821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7178fc996eab2c78ec2477dc1c2166aca3c2b19cc2cdb0bfe26f134a3aaf260f

Aliases

arxiv: 1509.04320 · arxiv_version: 1509.04320v1 · doi: 10.48550/arxiv.1509.04320 · pith_short_12: OF4PZGLOVMWH · pith_short_16: OF4PZGLOVMWHR3BE · pith_short_8: OF4PZGLO

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/OF4PZGLOVMWHR3BEO7OBYILGVS \
  | 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: 7178fc996eab2c78ec2477dc1c2166aca3c2b19cc2cdb0bfe26f134a3aaf260f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a570643e3c730ea1df63010002e8423c1e8ab6c6762aecc207ac1ebdbf38345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-30T23:05:56Z",
    "title_canon_sha256": "739391072943cef653a46f378c2af32b067ef29a97ec3ee561961c4e68afdd51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04320",
    "kind": "arxiv",
    "version": 1
  }
}