Pith Number

pith:LXE64R32

pith:2026:LXE64R32VLCQ3YYKKP3ZMSQSP5

not attested not anchored not stored refs pending

Sharp Weitzenb\"{o}ck and PIC2 Estimates from Sectional-Scalar Curvature Pinching

Jian Ge

arxiv:2607.18216 v1 · 2026-07-20 · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXE64R32VLCQ3YYKKP3ZMSQSP5}

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	2026-07-21T02:22:27.977387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dc9ee477aaac50de30a53f7964a127f68bf8abf85cef480c450c769cbd71333

Aliases

arxiv: 2607.18216 · arxiv_version: 2607.18216v1 · doi: 10.48550/arxiv.2607.18216 · pith_short_12: LXE64R32VLCQ · pith_short_16: LXE64R32VLCQ3YYK · pith_short_8: LXE64R32

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/LXE64R32VLCQ3YYKKP3ZMSQSP5 \
  | 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: 5dc9ee477aaac50de30a53f7964a127f68bf8abf85cef480c450c769cbd71333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e2c4b4c22bd3dc3f54960dd667fd5274ff21d99a2dac80fee43bc924c31c4ae",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-20T17:51:14Z",
    "title_canon_sha256": "37c3d547ae6521a9acf2b659522d76aba8ccb4de96b3a87d178b8090bedeefab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18216",
    "kind": "arxiv",
    "version": 1
  }
}