Pith Number

pith:7V3W5JIN

pith:2015:7V3W5JIN556WLMLRFBR36GO3I3

not attested not anchored not stored refs pending

The Carleson Embedding Theorem with matrix weights

Amalia Culiuc, Sergei Treil

arxiv:1508.01716 v2 · 2015-08-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7V3W5JIN556WLMLRFBR36GO3I3}

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	2026-05-18T00:36:48.141423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd776ea50def7d65b1712863bf19db46d95fef2c83f665cd26b03100b52a4845

Aliases

arxiv: 1508.01716 · arxiv_version: 1508.01716v2 · doi: 10.48550/arxiv.1508.01716 · pith_short_12: 7V3W5JIN556W · pith_short_16: 7V3W5JIN556WLMLR · pith_short_8: 7V3W5JIN

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/7V3W5JIN556WLMLRFBR36GO3I3 \
  | 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: fd776ea50def7d65b1712863bf19db46d95fef2c83f665cd26b03100b52a4845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269d9ee306404e23f4d2c03108ff4583935273507c2c92ab6b50b483add15e7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-07T15:02:51Z",
    "title_canon_sha256": "86fc7cc73ee15a247f6c61fdcf129fc63f1f408c16faeb4937c9324f6082ebc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01716",
    "kind": "arxiv",
    "version": 2
  }
}