Pith Number

pith:LFFCZKWU

pith:2026:LFFCZKWUG4IPL6LOYKU5RRDMPB

not attested not anchored not stored refs pending

Wronskian curvature positivity is equivalent to the existence of a holomorphic projective connection

Pengchao Wang, Songyan Xie

arxiv:2607.11021 v1 · 2026-07-13 · 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{LFFCZKWUG4IPL6LOYKU5RRDMPB}

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	2026-07-14T01:21:53.023595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

594a2caad43710f5f96ec2a9d8c46c787002f2b8fa21213462de24a01c88b918

Aliases

arxiv: 2607.11021 · arxiv_version: 2607.11021v1 · doi: 10.48550/arxiv.2607.11021 · pith_short_12: LFFCZKWUG4IP · pith_short_16: LFFCZKWUG4IPL6LO · pith_short_8: LFFCZKWU

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/LFFCZKWUG4IPL6LOYKU5RRDMPB \
  | 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: 594a2caad43710f5f96ec2a9d8c46c787002f2b8fa21213462de24a01c88b918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30e19578dae25b1d657faff7656cae42c3cd16a57a600a3c562a6b780413c26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-07-13T02:40:56Z",
    "title_canon_sha256": "85fd2e11b24000e9e6fa02d338af20cc0ea4c5dc9cf9c375bdebc449618db478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11021",
    "kind": "arxiv",
    "version": 1
  }
}