Pith Number

pith:VKZXKTRY

pith:2010:VKZXKTRY7ARBBDO5WD3IKUNUEF

not attested not anchored not stored refs pending

The *-Ricci tensor for hypersurfaces in CP^n and CH^n

Patrick J. Ryan, Thomas A. Ivey

arxiv:1011.0902 v1 · 2010-11-03 · 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{VKZXKTRY7ARBBDO5WD3IKUNUEF}

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	2026-05-18T04:37:12.141182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aab3754e38f822108dddb0f68551b42166c3908f78e006c00252cfc6033f757e

Aliases

arxiv: 1011.0902 · arxiv_version: 1011.0902v1 · doi: 10.48550/arxiv.1011.0902 · pith_short_12: VKZXKTRY7ARB · pith_short_16: VKZXKTRY7ARBBDO5 · pith_short_8: VKZXKTRY

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/VKZXKTRY7ARBBDO5WD3IKUNUEF \
  | 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: aab3754e38f822108dddb0f68551b42166c3908f78e006c00252cfc6033f757e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71815ffbb1f158e5a9f6cf05b993b8d2c6c6c2704017721576c65bb099de575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-03T14:54:49Z",
    "title_canon_sha256": "a78265ee938cd8f800b7fe6450041b41bd95b55c01fb5e0b2fcbbda6b406416e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0902",
    "kind": "arxiv",
    "version": 1
  }
}