Pith Number

pith:2KRURYOC

pith:2024:2KRURYOC2DOPGIOWOO72JOPLDV

not attested not anchored not stored refs pending

Ends of (singular) Ricci shrinkers

Alessandro Bertellotti, Reto Buzano

arxiv:2407.04131 v2 · 2024-07-04 · 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{2KRURYOC2DOPGIOWOO72JOPLDV}

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	2026-06-08T01:04:59.398109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a348e1c2d0dcf321d673bfa4b9eb1d4702e126231365dc18e28eac93e355e7

Aliases

arxiv: 2407.04131 · arxiv_version: 2407.04131v2 · doi: 10.48550/arxiv.2407.04131 · pith_short_12: 2KRURYOC2DOP · pith_short_16: 2KRURYOC2DOPGIOW · pith_short_8: 2KRURYOC

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/2KRURYOC2DOPGIOWOO72JOPLDV \
  | 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: d2a348e1c2d0dcf321d673bfa4b9eb1d4702e126231365dc18e28eac93e355e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7becd3947ac33b7aa32042e805faf5f61b9562fc1de27e0d5e6f5ede3d9be456",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-07-04T19:22:07Z",
    "title_canon_sha256": "9d90c90e9ca204fc076174395bfd335867a0cb60d973d19ef717fed7d0cb0431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.04131",
    "kind": "arxiv",
    "version": 2
  }
}