Pith Number

pith:ZH2NUM5Z

pith:2005:ZH2NUM5Z6LULKASNREVI52JSO5

not attested not anchored not stored refs pending

Embedding theorems of function classes

B. Simonov, S. Tikhonov

arxiv:math/0506381 v2 · 2005-06-19 · math.CA · 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{ZH2NUM5Z6LULKASNREVI52JSO5}

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	2026-05-18T03:59:49.858535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f4da33b9f2e8b5024d892a8ee932776c4d97796832f251c3a381ee4e6249bf

Aliases

arxiv: math/0506381 · arxiv_version: math/0506381v2 · doi: 10.48550/arxiv.math/0506381 · pith_short_12: ZH2NUM5Z6LUL · pith_short_16: ZH2NUM5Z6LULKASN · pith_short_8: ZH2NUM5Z

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/ZH2NUM5Z6LULKASNREVI52JSO5 \
  | 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: c9f4da33b9f2e8b5024d892a8ee932776c4d97796832f251c3a381ee4e6249bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d668b1cf1506204cb246c8275e495fba5e8475a097133308e83848dee0df201",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2005-06-19T21:48:48Z",
    "title_canon_sha256": "8576ba6ddcddeb95289e145fc32558a39f00eff5d95e61fea475a9a73fa04df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506381",
    "kind": "arxiv",
    "version": 2
  }
}