Pith Number

pith:M36BNRSM

pith:2017:M36BNRSMBUQ5B3BUYUXY45GKI7

not attested not anchored not stored refs pending

Sectional curvature and Weitzenb\"ock formulae

Renato G. Bettiol, Ricardo A. E. Mendes

arxiv:1708.09033 v3 · 2017-08-29 · 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{M36BNRSMBUQ5B3BUYUXY45GKI7}

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.

Cited by

1 paper in Pith

New Curvature Conditions for the Bochner Technique

Receipt and verification

First computed	2026-07-05T04:42:28.457458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66fc16c64c0d21d0ec34c52f8e74ca47fb72019da64fe28fec454165f691cecc

Aliases

arxiv: 1708.09033 · arxiv_version: 1708.09033v3 · doi: 10.48550/arxiv.1708.09033 · pith_short_12: M36BNRSMBUQ5 · pith_short_16: M36BNRSMBUQ5B3BU · pith_short_8: M36BNRSM

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/M36BNRSMBUQ5B3BUYUXY45GKI7 \
  | 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: 66fc16c64c0d21d0ec34c52f8e74ca47fb72019da64fe28fec454165f691cecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d88d4d9bb7039a548ba872ba2905165c112246633a67f052bc0160059f3d394",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-29T21:31:21Z",
    "title_canon_sha256": "000e415952baccc994b0a61bd68e425163a8fe630b0afbf696c495b8aaff8f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09033",
    "kind": "arxiv",
    "version": 3
  }
}