Pith Number

pith:Z5L3PFKU

pith:2026:Z5L3PFKUM5G3BEFUEM2MHKLGCK

not attested not anchored not stored refs pending

Spaces with distributional scalar curvature bounded from below: Optimal regularity and positive mass

Florian Litzinger, Man-Chun Lee, Miles Simon

arxiv:2606.23272 v1 · 2026-06-22 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5L3PFKUM5G3BEFUEM2MHKLGCK}

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	2026-06-23T03:14:15.444906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf57b79554674db090b42334c3a966128742947f88d6465251e7b140d3c26f42

Aliases

arxiv: 2606.23272 · arxiv_version: 2606.23272v1 · doi: 10.48550/arxiv.2606.23272 · pith_short_12: Z5L3PFKUM5G3 · pith_short_16: Z5L3PFKUM5G3BEFU · pith_short_8: Z5L3PFKU

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/Z5L3PFKUM5G3BEFUEM2MHKLGCK \
  | 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: cf57b79554674db090b42334c3a966128742947f88d6465251e7b140d3c26f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95ca15a651c68317c1b68bcf475e2f59712f347501d36c8165355ff53b74f37",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-22T12:50:32Z",
    "title_canon_sha256": "f923dcbec5ff392c39eaf491feb9450ff822a3ba0901ee96e589db80b292584d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23272",
    "kind": "arxiv",
    "version": 1
  }
}