Pith Number

pith:7UGUI6SL

pith:2017:7UGUI6SLICEAS3TKUXFRYEM5UU

not attested not anchored not stored refs pending

On the semi-continuity problem of normalized volumes of singularities

Yuchen Liu

arxiv:1711.06962 v1 · 2017-11-19 · math.AG · math.AC · 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{7UGUI6SLICEAS3TKUXFRYEM5UU}

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	2026-05-18T00:30:15.020963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0d447a4b4088096e6aa5cb1c119da5141f0030fe11f1bf7a94391690e93d5a

Aliases

arxiv: 1711.06962 · arxiv_version: 1711.06962v1 · doi: 10.48550/arxiv.1711.06962 · pith_short_12: 7UGUI6SLICEA · pith_short_16: 7UGUI6SLICEAS3TK · pith_short_8: 7UGUI6SL

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/7UGUI6SLICEAS3TKUXFRYEM5UU \
  | 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: fd0d447a4b4088096e6aa5cb1c119da5141f0030fe11f1bf7a94391690e93d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3cd48093879ac034a5913891a3f2d262381f531bacaacb3bacc76222aa90d35",
    "cross_cats_sorted": [
      "math.AC",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-19T03:41:34Z",
    "title_canon_sha256": "97fc5d3d8ce88f89665dabccfbc073cbfa6466ab1ffb6e435758fd34f4c857b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06962",
    "kind": "arxiv",
    "version": 1
  }
}