Pith Number

pith:5PFHUROU

pith:2016:5PFHUROUAM7FOJWGXMMUJHPJAU

not attested not anchored not stored refs pending

Counterexamples of Lefschetz hyperplane type results for movable cones

Zhan Li

arxiv:1601.05546 v3 · 2016-01-21 · 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{5PFHUROUAM7FOJWGXMMUJHPJAU}

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	2026-05-18T01:21:41.576572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebca7a45d4033e5726c6bb19449de9053f2c0528e9cd835e842a675b7ef82a9e

Aliases

arxiv: 1601.05546 · arxiv_version: 1601.05546v3 · doi: 10.48550/arxiv.1601.05546 · pith_short_12: 5PFHUROUAM7F · pith_short_16: 5PFHUROUAM7FOJWG · pith_short_8: 5PFHUROU

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/5PFHUROUAM7FOJWGXMMUJHPJAU \
  | 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: ebca7a45d4033e5726c6bb19449de9053f2c0528e9cd835e842a675b7ef82a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7306e903debab7cd0cc9886b896f1496132079b5be6c86e0d77858808ff97d44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-21T08:30:46Z",
    "title_canon_sha256": "31ff0c6ab75a57db32f49fac8ba1174b9462823469b35a4e5a24778d198ca573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05546",
    "kind": "arxiv",
    "version": 3
  }
}