Pith Number

pith:5UBRMXQI

pith:2014:5UBRMXQIBQ7REMDSBUPPCBGS4B

not attested not anchored not stored refs pending

Ampleness of canonical divisors of hyperbolic normal projective varieties

De-Qi Zhang, Fei Hu, Sheng Meng

arxiv:1407.5694 v1 · 2014-07-21 · math.AG · math.CV · 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{5UBRMXQIBQ7REMDSBUPPCBGS4B}

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	2026-05-17T23:41:28.204070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed03165e080c3f1230720d1ef104d2e05ae36df59c312c8ce5fbe8881c29346f

Aliases

arxiv: 1407.5694 · arxiv_version: 1407.5694v1 · doi: 10.48550/arxiv.1407.5694 · pith_short_12: 5UBRMXQIBQ7R · pith_short_16: 5UBRMXQIBQ7REMDS · pith_short_8: 5UBRMXQI

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/5UBRMXQIBQ7REMDSBUPPCBGS4B \
  | 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: ed03165e080c3f1230720d1ef104d2e05ae36df59c312c8ce5fbe8881c29346f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91641d3541ebb00474a71458e9a21f067f9dcc38db4b340759607c6ae1631c54",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-21T23:55:14Z",
    "title_canon_sha256": "e8fbe5c39ef962ad95938e56cafe3448a5b1e47e65a0cc9f8ed23e28eae2f8ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5694",
    "kind": "arxiv",
    "version": 1
  }
}