Pith Number

pith:OXU26W35

pith:2014:OXU26W357IJC5GS6KGVF4MDCXO

not attested not anchored not stored refs pending

On the upper and lower estimates of norms in variable exponent spaces

Nino Samashvili, Shalva Zviadadze, Tengiz Kopaliani

arxiv:1411.3461 v1 · 2014-11-13 · 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{OXU26W357IJC5GS6KGVF4MDCXO}

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	2026-05-18T02:37:43.703266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75e9af5b7dfa122e9a5e51aa5e3062bba10b7fced9ae319fb865fd27f4e9c624

Aliases

arxiv: 1411.3461 · arxiv_version: 1411.3461v1 · doi: 10.48550/arxiv.1411.3461 · pith_short_12: OXU26W357IJC · pith_short_16: OXU26W357IJC5GS6 · pith_short_8: OXU26W35

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/OXU26W357IJC5GS6KGVF4MDCXO \
  | 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: 75e9af5b7dfa122e9a5e51aa5e3062bba10b7fced9ae319fb865fd27f4e9c624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a052febf6822348d0a8c490c4f5ef9c155a39a42b8782840a74831f4e3882965",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-13T08:28:16Z",
    "title_canon_sha256": "888c400701feb8c7feb4f672a782ecdfff77294e3d07013317df6ddea69cd2b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3461",
    "kind": "arxiv",
    "version": 1
  }
}