Pith Number

pith:PDKGC5JY

pith:2005:PDKGC5JYKGKS2UYTUOBHFXRWHJ

not attested not anchored not stored refs pending

Numerical bounds for semi-stable families of curves or of certain higher dimensional manifolds

Eckart Viehweg, Kang Zuo

arxiv:math/0504542 v2 · 2005-04-26 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDKGC5JYKGKS2UYTUOBHFXRWHJ}

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	2026-05-18T04:28:28.110144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78d461753851952d5313a38272de363a65b7476bb70724be4e46e99648a23bdb

Aliases

arxiv: math/0504542 · arxiv_version: math/0504542v2 · doi: 10.48550/arxiv.math/0504542 · pith_short_12: PDKGC5JYKGKS · pith_short_16: PDKGC5JYKGKS2UYT · pith_short_8: PDKGC5JY

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/PDKGC5JYKGKS2UYTUOBHFXRWHJ \
  | 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: 78d461753851952d5313a38272de363a65b7476bb70724be4e46e99648a23bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31edbc3c09ce49f29a5602294949a6f7906925ae43a9e216b9d404a16f1007a7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-04-26T20:34:26Z",
    "title_canon_sha256": "8842f8024ac2bb00690a5178eebceff236f585fb3a203ee5e5d76e06de8df99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504542",
    "kind": "arxiv",
    "version": 2
  }
}