Pith Number

pith:LEWBYLWT

pith:2014:LEWBYLWTIFOBXOZJAAVCDJBX47

not attested not anchored not stored refs pending

A proof of the Ohsawa-Takegoshi theorem with sharp estimates

Bo Berndtsson, L\'aszl\'o Lempert

arxiv:1407.4946 v1 · 2014-07-18 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEWBYLWTIFOBXOZJAAVCDJBX47}

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	2026-05-18T02:47:22.294063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592c1c2ed3415c1bbb29002a21a437e7e851f2352daf8a712fa15c5cb67c6326

Aliases

arxiv: 1407.4946 · arxiv_version: 1407.4946v1 · doi: 10.48550/arxiv.1407.4946 · pith_short_12: LEWBYLWTIFOB · pith_short_16: LEWBYLWTIFOBXOZJ · pith_short_8: LEWBYLWT

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/LEWBYLWTIFOBXOZJAAVCDJBX47 \
  | 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: 592c1c2ed3415c1bbb29002a21a437e7e851f2352daf8a712fa15c5cb67c6326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c68a062c232675779e4a3319d1350a1278a9204a5225d464931ffb4cacb3166",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-07-18T10:43:24Z",
    "title_canon_sha256": "8113b8930408028eaedf6c0013d19745f7d136024da4c228cbddbca76e85c075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4946",
    "kind": "arxiv",
    "version": 1
  }
}