Pith Number

pith:RNX6PDDX

pith:2024:RNX6PDDXLO6B5SNGXPRFWQQGKB

not attested not anchored not stored refs pending

Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate

Guokuan Shao, Manli Liu, Wenxuan Wang

arxiv:2409.16836 v2 · 2024-09-25 · 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{RNX6PDDXLO6B5SNGXPRFWQQGKB}

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	2026-07-05T09:12:10.539896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b6fe78c775bbc1ec9a6bbe25b4206507573f074f810701391d13f064db5263a

Aliases

arxiv: 2409.16836 · arxiv_version: 2409.16836v2 · doi: 10.48550/arxiv.2409.16836 · pith_short_12: RNX6PDDXLO6B · pith_short_16: RNX6PDDXLO6B5SNG · pith_short_8: RNX6PDDX

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/RNX6PDDXLO6B5SNGXPRFWQQGKB \
  | 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: 8b6fe78c775bbc1ec9a6bbe25b4206507573f074f810701391d13f064db5263a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce82b515a112b814f5f04d147faa5f6f74829eb4a23266a870379e8fe700a71",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2024-09-25T11:36:54Z",
    "title_canon_sha256": "612b60bc27168c8600d543416a84d474b6c44d4e34e56b91cebf792df2595a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.16836",
    "kind": "arxiv",
    "version": 2
  }
}