Pith Number

pith:T4HJRMRJ

pith:2012:T4HJRMRJXIPOT4J7IOZAKZZD3Z

not attested not anchored not stored refs pending

Compact almost Ricci solitons with constant scalar curvature are gradient

Abd\^enago Barros, Ernani Ribeiro Jr, Rondinelle Batista

arxiv:1209.2720 v3 · 2012-09-12 · 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{T4HJRMRJXIPOT4J7IOZAKZZD3Z}

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	2026-05-18T03:12:12.014654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0e98b229ba1ee9f13f43b2056723de5ac371de6645005db3c9a01661b87190

Aliases

arxiv: 1209.2720 · arxiv_version: 1209.2720v3 · doi: 10.48550/arxiv.1209.2720 · pith_short_12: T4HJRMRJXIPO · pith_short_16: T4HJRMRJXIPOT4J7 · pith_short_8: T4HJRMRJ

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/T4HJRMRJXIPOT4J7IOZAKZZD3Z \
  | 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: 9f0e98b229ba1ee9f13f43b2056723de5ac371de6645005db3c9a01661b87190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3dae83abf213774f687db88019dc1001028f309f98eeca0e078be0708e43b04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-12T20:22:55Z",
    "title_canon_sha256": "a52c6d97ffbdbb3f910f20bb0214fd9e11d812b367e57c06441f049bdf1ea64c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2720",
    "kind": "arxiv",
    "version": 3
  }
}