Pith Number

pith:UDFUA7HU

pith:2011:UDFUA7HUMCMGHGYGZ3NGM4DPFJ

not attested not anchored not stored refs pending

Sharp embedding results for spaces of smooth functions with power weights

Mark Veraar, Martin Meyries

arxiv:1112.5388 v3 · 2011-12-22 · 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{UDFUA7HUMCMGHGYGZ3NGM4DPFJ}

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	2026-05-18T04:02:39.109161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0cb407cf46098639b06ceda66706f2a69d5ad46f6859ef1c26c39000c933ef2

Aliases

arxiv: 1112.5388 · arxiv_version: 1112.5388v3 · doi: 10.48550/arxiv.1112.5388 · pith_short_12: UDFUA7HUMCMG · pith_short_16: UDFUA7HUMCMGHGYG · pith_short_8: UDFUA7HU

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/UDFUA7HUMCMGHGYGZ3NGM4DPFJ \
  | 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: a0cb407cf46098639b06ceda66706f2a69d5ad46f6859ef1c26c39000c933ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7955d2f654e9f927717a27e9728e462b2ec66b8f0cdc8a64a33758f85cac140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-22T17:07:49Z",
    "title_canon_sha256": "03edeab386df1575cb3309aee0471f1317c0784a30f5ea0d926bfc0c44c597a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5388",
    "kind": "arxiv",
    "version": 3
  }
}