Pith Number

pith:2VYGOSEC

pith:2015:2VYGOSECPV6WXNP3SQSFNV7RLZ

not attested not anchored not stored refs pending

Classification of expanding and steady Ricci solitons with integral curvature decay

Dario Daniele Monticelli, Giovanni Catino, Paolo Mastrolia

arxiv:1501.01517 v1 · 2015-01-07 · 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{2VYGOSECPV6WXNP3SQSFNV7RLZ}

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	2026-05-18T01:01:58.288330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5706748827d7d6bb5fb942456d7f15e4444619400da1828854b81fdb0fd35d0

Aliases

arxiv: 1501.01517 · arxiv_version: 1501.01517v1 · doi: 10.48550/arxiv.1501.01517 · pith_short_12: 2VYGOSECPV6W · pith_short_16: 2VYGOSECPV6WXNP3 · pith_short_8: 2VYGOSEC

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/2VYGOSECPV6WXNP3SQSFNV7RLZ \
  | 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: d5706748827d7d6bb5fb942456d7f15e4444619400da1828854b81fdb0fd35d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "764b1684a878524397a2cb0c184290228484bb50d0896205300f0f465ad7e5a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-07T15:22:12Z",
    "title_canon_sha256": "0458a66a506cb4d3ed78a18ed5e61180d46c828c0d3f6134697436394cdaf95a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01517",
    "kind": "arxiv",
    "version": 1
  }
}