Pith Number

pith:GN73HZ4G

pith:2026:GN73HZ4G3OMSV4PS4UKKFGGEG3

not attested not anchored not stored refs pending

Scalar Curvature Rigidity for Products of convex Hypersurfaces and even dimensional Manifolds

Georg Frenck, Lukas Sch\"onlinner, Thomas Schick

arxiv:2607.09472 v1 · 2026-07-10 · 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{GN73HZ4G3OMSV4PS4UKKFGGEG3}

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	2026-07-13T01:20:12.315329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

337fb3e786db992af1f2e514a298c436eebb3a485ab6071453dd07c7ff7f6fe6

Aliases

arxiv: 2607.09472 · arxiv_version: 2607.09472v1 · doi: 10.48550/arxiv.2607.09472 · pith_short_12: GN73HZ4G3OMS · pith_short_16: GN73HZ4G3OMSV4PS · pith_short_8: GN73HZ4G

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/GN73HZ4G3OMSV4PS4UKKFGGEG3 \
  | 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: 337fb3e786db992af1f2e514a298c436eebb3a485ab6071453dd07c7ff7f6fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23dea027375075eebac5b6a926f38eb62fe4e854f92df2645d960ce6c797615c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-10T14:44:25Z",
    "title_canon_sha256": "0b35ddf4e883e9c8c89cc52de9c9e0e172c0f30d9a859003abbd132af32aeecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09472",
    "kind": "arxiv",
    "version": 1
  }
}