Pith Number

pith:AO5CXTYA

pith:2010:AO5CXTYAEBSUBN5BCT7OYOESFA

not attested not anchored not stored refs pending

On the Geometry of complete Ricci Solitons

Marco Rigoli, Paolo Mastrolia

arxiv:1009.1480 v1 · 2010-09-08 · 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{AO5CXTYAEBSUBN5BCT7OYOESFA}

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	2026-05-18T04:41:14.682910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ba2bcf00206540b7a114feec3892283e3d5338077fcae5566206ed18eb016d

Aliases

arxiv: 1009.1480 · arxiv_version: 1009.1480v1 · doi: 10.48550/arxiv.1009.1480 · pith_short_12: AO5CXTYAEBSU · pith_short_16: AO5CXTYAEBSUBN5B · pith_short_8: AO5CXTYA

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/AO5CXTYAEBSUBN5BCT7OYOESFA \
  | 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: 03ba2bcf00206540b7a114feec3892283e3d5338077fcae5566206ed18eb016d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d65df7c3bb8d4bd14e3d3946bac27874d422f9e64e3c3f015bca8800cee4fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-08T08:28:50Z",
    "title_canon_sha256": "ec0aca1b5442bfeab4514b1dff19502a24b4679ddeb7c43872f4f74bb26c1686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1480",
    "kind": "arxiv",
    "version": 1
  }
}