Pith Number

pith:4W5ADCM6

pith:2025:4W5ADCM6PMMPHXNSZHBP3A35NH

not attested not anchored not stored refs pending

The $\sigma_k$-Loewner-Nirenberg problem on Riemannian manifolds for $k=\frac{n}{2}$ and beyond

Jonah A. J. Duncan, Luc Nguyen

arxiv:2507.16394 v1 · 2025-07-22 · math.AP · 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{4W5ADCM6PMMPHXNSZHBP3A35NH}

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	2026-07-05T11:41:08.701762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ba01899e7b18f3ddb2c9c2fd837d69c6036dec6b05cc2fa7f2b4038d17208f

Aliases

arxiv: 2507.16394 · arxiv_version: 2507.16394v1 · doi: 10.48550/arxiv.2507.16394 · pith_short_12: 4W5ADCM6PMMP · pith_short_16: 4W5ADCM6PMMPHXNS · pith_short_8: 4W5ADCM6

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/4W5ADCM6PMMPHXNSZHBP3A35NH \
  | 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: e5ba01899e7b18f3ddb2c9c2fd837d69c6036dec6b05cc2fa7f2b4038d17208f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903ebc946076b3856edf4738e52b172c8a288c9e26bc29f7a25f26ee3fdbce72",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-22T09:38:29Z",
    "title_canon_sha256": "e81170da34bedf980b8b571b906c02cd13583f87472bdcc69bf45b144e48d393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16394",
    "kind": "arxiv",
    "version": 1
  }
}