Pith Number

pith:7TGNYLWE

pith:2019:7TGNYLWEJRC255LHDVCBLZVRKQ

not attested not anchored not stored refs pending

New Curvature Conditions for the Bochner Technique

Matthias Wink, Peter Petersen

arxiv:1908.09958 v4 · 2019-08-26 · 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{7TGNYLWEJRC255LHDVCBLZVRKQ}

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	2026-07-05T09:15:04.786628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcccdc2ec44c45aef5671d4415e6b15401806145de3c9986c7486937d8a22f74

Aliases

arxiv: 1908.09958 · arxiv_version: 1908.09958v4 · doi: 10.48550/arxiv.1908.09958 · pith_short_12: 7TGNYLWEJRC2 · pith_short_16: 7TGNYLWEJRC255LH · pith_short_8: 7TGNYLWE

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/7TGNYLWEJRC255LHDVCBLZVRKQ \
  | 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: fcccdc2ec44c45aef5671d4415e6b15401806145de3c9986c7486937d8a22f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651c93b8a56ca859c207fcd56ab56086e138d38c666ff3e30e0abc59db7921d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-26T23:41:30Z",
    "title_canon_sha256": "7b916601dbbc0ffea6612f64887d099bf6a65f0b2315b1c984f518e9a4d4dbe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09958",
    "kind": "arxiv",
    "version": 4
  }
}