Pith Number

pith:YV73Y5VC

pith:2018:YV73Y5VCDHVJ4547T34V6BU5UT

not attested not anchored not stored refs pending

Hodge-index type inequalities, hyperbolic polynomials and complex Hessian equations

Jian Xiao

arxiv:1810.04662 v1 · 2018-10-10 · 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{YV73Y5VCDHVJ4547T34V6BU5UT}

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	2026-05-18T00:03:37.738131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c57fbc76a219ea9e779f9ef95f069da4cfef7e19e3487478f38b99d8fd3900ed

Aliases

arxiv: 1810.04662 · arxiv_version: 1810.04662v1 · doi: 10.48550/arxiv.1810.04662 · pith_short_12: YV73Y5VCDHVJ · pith_short_16: YV73Y5VCDHVJ4547 · pith_short_8: YV73Y5VC

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/YV73Y5VCDHVJ4547T34V6BU5UT \
  | 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: c57fbc76a219ea9e779f9ef95f069da4cfef7e19e3487478f38b99d8fd3900ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47363378ff22d87265d621891a3ef96ed1e874fcdb544b44b787607a1bfbf0f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-10T17:49:11Z",
    "title_canon_sha256": "4adc08c1778a658a040a278ebb887441e2c7d70417dafef0ca959c4e6c018140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04662",
    "kind": "arxiv",
    "version": 1
  }
}