Pith Number

pith:A5ZUGPU2

pith:2012:A5ZUGPU2XKA5RB65PCZMRFXU54

not attested not anchored not stored refs pending

On Laplace-Carleson embedding theorems

Birgit Jacob, Jonathan Partington, Sandra Pott

arxiv:1201.1021 v2 · 2012-01-04 · math.FA · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5ZUGPU2XKA5RB65PCZMRFXU54}

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	2026-05-18T03:43:40.367245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0773433e9aba81d887dd78b2c896f4ef35c4832f7dfc004130e0716ec90a96c4

Aliases

arxiv: 1201.1021 · arxiv_version: 1201.1021v2 · doi: 10.48550/arxiv.1201.1021 · pith_short_12: A5ZUGPU2XKA5 · pith_short_16: A5ZUGPU2XKA5RB65 · pith_short_8: A5ZUGPU2

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/A5ZUGPU2XKA5RB65PCZMRFXU54 \
  | 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: 0773433e9aba81d887dd78b2c896f4ef35c4832f7dfc004130e0716ec90a96c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "375ee06215aef00f3cc54f3950283f6760bf315db576f6e21d36c9f59689a0f3",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-04T21:57:45Z",
    "title_canon_sha256": "9324b2a297c29985244d939eeb76198c167ee589c398307e94dcf820cdd39c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1021",
    "kind": "arxiv",
    "version": 2
  }
}