Pith Number

pith:F5MZF75F

pith:2011:F5MZF75FYBP7ZEGC3XSP54OSLL

not attested not anchored not stored refs pending

A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons

Eduardo Garcia-Rio, Manuel Fernandez-Lopez

arxiv:1104.1889 v1 · 2011-04-11 · 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{F5MZF75FYBP7ZEGC3XSP54OSLL}

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	2026-05-18T04:24:36.912068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5992ffa5c05ffc90c2dde4fef1d25adeb3c8989970ddf023424cd4511a610c

Aliases

arxiv: 1104.1889 · arxiv_version: 1104.1889v1 · doi: 10.48550/arxiv.1104.1889 · pith_short_12: F5MZF75FYBP7 · pith_short_16: F5MZF75FYBP7ZEGC · pith_short_8: F5MZF75F

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/F5MZF75FYBP7ZEGC3XSP54OSLL \
  | 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: 2f5992ffa5c05ffc90c2dde4fef1d25adeb3c8989970ddf023424cd4511a610c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99609c4071dd038a774d66f471326d38fa5675f03025fc318df38f477e2b313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-11T09:26:46Z",
    "title_canon_sha256": "7c680295cbbe0483f661ac18ef86fd2637e4bc5d21e8e08a62e347e829e37dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1889",
    "kind": "arxiv",
    "version": 1
  }
}