Pith Number

pith:N2VVN6VW

pith:2015:N2VVN6VWOEOZABINPFPJRHIUEI

not attested not anchored not stored refs pending

Homogeneous affine surfaces: affine Killing vector fields and Gradient Ricci solitons

E. Garc\'ia-R\'io, M. Brozos-V\'azquez, P. Gilkey

arxiv:1512.05515 v1 · 2015-12-17 · 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{N2VVN6VWOEOZABINPFPJRHIUEI}

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	2026-05-18T01:24:09.886625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eab56fab6711d90050d795e989d1422302e9946012eb0281d0d10cd6f79ab6a

Aliases

arxiv: 1512.05515 · arxiv_version: 1512.05515v1 · doi: 10.48550/arxiv.1512.05515 · pith_short_12: N2VVN6VWOEOZ · pith_short_16: N2VVN6VWOEOZABIN · pith_short_8: N2VVN6VW

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/N2VVN6VWOEOZABINPFPJRHIUEI \
  | 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: 6eab56fab6711d90050d795e989d1422302e9946012eb0281d0d10cd6f79ab6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bb03a45961431ce23f3de6520ecab80587582350c4612b6a8b5545887fdd41a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-17T10:16:37Z",
    "title_canon_sha256": "b78ed266c0df9c52fe1619a76c42c284e866be48305011f64f874c6c0fb9009b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05515",
    "kind": "arxiv",
    "version": 1
  }
}