Pith Number

pith:DZH2X7FZ

pith:2017:DZH2X7FZSJ6XMVWAM7C25NYLAE

not attested not anchored not stored refs pending

Relative singular support and the semi-continuity of characteristic cycles for \'etale sheaves

Enlin Yang, Haoyu Hu

arxiv:1702.06752 v1 · 2017-02-22 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZH2X7FZSJ6XMVWAM7C25NYLAE}

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	2026-05-18T00:50:12.213819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e4fabfcb9927d7656c067c5aeb70b0105a23dd40a1440d50dcc4d18706cac3a

Aliases

arxiv: 1702.06752 · arxiv_version: 1702.06752v1 · doi: 10.48550/arxiv.1702.06752 · pith_short_12: DZH2X7FZSJ6X · pith_short_16: DZH2X7FZSJ6XMVWA · pith_short_8: DZH2X7FZ

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/DZH2X7FZSJ6XMVWAM7C25NYLAE \
  | 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: 1e4fabfcb9927d7656c067c5aeb70b0105a23dd40a1440d50dcc4d18706cac3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330acaf8541e8ffa912b448c6e88059bf2d3a85a2719754824321606c5921aa6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-22T11:05:12Z",
    "title_canon_sha256": "a253da2035323c1438426804f912e8d517532660d9493a69be04e9baf659f0e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06752",
    "kind": "arxiv",
    "version": 1
  }
}