Pith Number

pith:KKK3WOKR

pith:2016:KKK3WOKRFDQPVD2VX22VNOF2QU

not attested not anchored not stored refs pending

Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem

Qi'an Guan, Xiangyu Zhou

arxiv:1603.05728 v1 · 2016-03-17 · 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{KKK3WOKRFDQPVD2VX22VNOF2QU}

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	2026-05-18T01:18:53.671981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5295bb395128e0fa8f55beb556b8ba851c65fe675f773cec4218b0267b5b2a73

Aliases

arxiv: 1603.05728 · arxiv_version: 1603.05728v1 · doi: 10.48550/arxiv.1603.05728 · pith_short_12: KKK3WOKRFDQP · pith_short_16: KKK3WOKRFDQPVD2V · pith_short_8: KKK3WOKR

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/KKK3WOKRFDQPVD2VX22VNOF2QU \
  | 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: 5295bb395128e0fa8f55beb556b8ba851c65fe675f773cec4218b0267b5b2a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139da3dcc97324b78c6bd583dbcf7e41a4b702a9feafbf9c5ec462addf48d7cd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-03-17T23:39:35Z",
    "title_canon_sha256": "268f6bac8055354762dc4b98880dcd8619832e3c50c8a98680cdaa1cf1828238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05728",
    "kind": "arxiv",
    "version": 1
  }
}