Pith Number

pith:4ABYCMNP

pith:2026:4ABYCMNPEJ6ZEHITDB7MXIY6CC

not attested not anchored not stored refs pending

Nonexistence of Bounded Linear Extension Operators for Limiting Besov Traces on Metric Measure Spaces

Aleksei Y. Chikalov

arxiv:2607.11604 v1 · 2026-07-13 · 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{4ABYCMNPEJ6ZEHITDB7MXIY6CC}

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	2026-07-14T02:22:14.554760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0038131af227d921d13187ecba31e10ad7c04a8351900e2b8504ab6823b0e99

Aliases

arxiv: 2607.11604 · arxiv_version: 2607.11604v1 · doi: 10.48550/arxiv.2607.11604 · pith_short_12: 4ABYCMNPEJ6Z · pith_short_16: 4ABYCMNPEJ6ZEHIT · pith_short_8: 4ABYCMNP

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/4ABYCMNPEJ6ZEHITDB7MXIY6CC \
  | 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: e0038131af227d921d13187ecba31e10ad7c04a8351900e2b8504ab6823b0e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8518bfab5cf008f4b521e5a0353c1cb942d0fea0ba546f4f75deb792b210ab36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-13T14:28:50Z",
    "title_canon_sha256": "236bfbaef25a2fa79a852c4c73fe119d3f7e6f28320fd6e0e858dffb64beb92d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11604",
    "kind": "arxiv",
    "version": 1
  }
}