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Pith Number

pith:LC44I5PI

pith:2024:LC44I5PI5IA2EJEZLUGNX3PBPZ
not attested not anchored not stored refs pending

RC-positivity, Schwarz's lemma and comparison theorems

Shing-Tung Yau, Xiaokui Yang, Zhiyao Xiong

arxiv:2412.02553 v2 · 2024-12-03 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LC44I5PI5IA2EJEZLUGNX3PBPZ}

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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.

Cited by

3 papers in Pith

Receipt and verification
First computed 2026-07-05T09:44:18.123953Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

58b9c475e8ea01a224995d0cdbede17e4e5b909160614f246dcaf4883d2fca54

Aliases

arxiv: 2412.02553 · arxiv_version: 2412.02553v2 · doi: 10.48550/arxiv.2412.02553 · pith_short_12: LC44I5PI5IA2 · pith_short_16: LC44I5PI5IA2EJEZ · pith_short_8: LC44I5PI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LC44I5PI5IA2EJEZLUGNX3PBPZ \
  | 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: 58b9c475e8ea01a224995d0cdbede17e4e5b909160614f246dcaf4883d2fca54
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "97ae5b625f1d27e9fa964f4cb7ab812abec066416fb336cb7e5e79b4ea84ec3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-03T16:45:00Z",
    "title_canon_sha256": "b0441572a6a8cdfb9ef1768d73613f98533501b9b198aecf7bee14c4c7e8d867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02553",
    "kind": "arxiv",
    "version": 2
  }
}