Pith Number

pith:36LIL7VH

pith:2013:36LIL7VHVDDBPK3VMWBKCO6SXT

not attested not anchored not stored refs pending

Lp theory for outer measures and two themes of Lennart Carleson united

Christoph Thiele, Yen Do

arxiv:1309.0945 v3 · 2013-09-04 · 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{36LIL7VHVDDBPK3VMWBKCO6SXT}

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	2026-05-18T02:44:40.397750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9685fea7a8c617ab756582a13bd2bcd43baf8697286bf4a3263709b09c67f5

Aliases

arxiv: 1309.0945 · arxiv_version: 1309.0945v3 · doi: 10.48550/arxiv.1309.0945 · pith_short_12: 36LIL7VHVDDB · pith_short_16: 36LIL7VHVDDBPK3V · pith_short_8: 36LIL7VH

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/36LIL7VHVDDBPK3VMWBKCO6SXT \
  | 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: df9685fea7a8c617ab756582a13bd2bcd43baf8697286bf4a3263709b09c67f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b8db2c0d4a22397e201217ee40a645b7763bcf5e400c5268e150d7f9f39579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-04T08:40:50Z",
    "title_canon_sha256": "49691c22db2c95cb1771f4bc3cf36caea1f3f291522d4d1614a1886bcbab2e99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0945",
    "kind": "arxiv",
    "version": 3
  }
}