Pith Number

pith:GMKZI6P4

pith:2024:GMKZI6P4RSFO65W2FNU2GUZ6ID

not attested not anchored not stored refs pending

Notes on scalar curvature lower bounds of steady gradient Ricci solitons

Shota Hamanaka

arxiv:2409.00583 v4 · 2024-09-01 · 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{GMKZI6P4RSFO65W2FNU2GUZ6ID}

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	2026-05-22T01:03:40.294026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33159479fc8c8aef76da2b69a3533e40ecdeaa7ed9b54e0010a30625a529a188

Aliases

arxiv: 2409.00583 · arxiv_version: 2409.00583v4 · doi: 10.48550/arxiv.2409.00583 · pith_short_12: GMKZI6P4RSFO · pith_short_16: GMKZI6P4RSFO65W2 · pith_short_8: GMKZI6P4

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/GMKZI6P4RSFO65W2FNU2GUZ6ID \
  | 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: 33159479fc8c8aef76da2b69a3533e40ecdeaa7ed9b54e0010a30625a529a188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1dbe49ebe62d92dcb00166a591f875760c322b4dadf7df952a5b6c626675ff3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-09-01T02:28:10Z",
    "title_canon_sha256": "3f9a06a02a28101d7c27d14b7a1742d549889020729700cc41368a653e350d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.00583",
    "kind": "arxiv",
    "version": 4
  }
}