Pith Number

pith:OOCQVSUC

pith:2017:OOCQVSUCPII6IRYVQTW5NQLVVS

not attested not anchored not stored refs pending

Strong openness of multiplier ideal sheaves and optimal $L^{2}$ extension

Qi'an Guan, Xiangyu Zhou

arxiv:1703.08387 v2 · 2017-03-24 · math.CV · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOCQVSUCPII6IRYVQTW5NQLVVS}

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	2026-05-18T00:43:51.241328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73850aca827a11e4471584edd6c175aca74b067f22895321e49c92da989b7ddf

Aliases

arxiv: 1703.08387 · arxiv_version: 1703.08387v2 · doi: 10.48550/arxiv.1703.08387 · pith_short_12: OOCQVSUCPII6 · pith_short_16: OOCQVSUCPII6IRYV · pith_short_8: OOCQVSUC

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/OOCQVSUCPII6IRYVQTW5NQLVVS \
  | 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: 73850aca827a11e4471584edd6c175aca74b067f22895321e49c92da989b7ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160f5bdc51a835b8f93dbe25fcd4714d5414130ac63ce15fe19c5117fae86264",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-03-24T12:26:48Z",
    "title_canon_sha256": "14e8507efb559116864263426244fff763bac6fc319f3958f3657b2a9a5247ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08387",
    "kind": "arxiv",
    "version": 2
  }
}