Pith Number

pith:TOPPYQQ6

pith:2010:TOPPYQQ6NBZBVXXEYNJ2CFOBK6

not attested not anchored not stored refs pending

Curvature properties and isotropic planes of Riemannian and almost Hermitian manifolds of indefinite metrics

Adrijan Borisov, Georgi Ganchev, Ognian Kassabov

arxiv:1008.1925 v1 · 2010-08-11 · 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{TOPPYQQ6NBZBVXXEYNJ2CFOBK6}

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	2026-05-18T04:42:22.699701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9efc421e68721adee4c353a115c157870d47054268fbbe3249da641322cd33

Aliases

arxiv: 1008.1925 · arxiv_version: 1008.1925v1 · doi: 10.48550/arxiv.1008.1925 · pith_short_12: TOPPYQQ6NBZB · pith_short_16: TOPPYQQ6NBZBVXXE · pith_short_8: TOPPYQQ6

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/TOPPYQQ6NBZBVXXEYNJ2CFOBK6 \
  | 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: 9b9efc421e68721adee4c353a115c157870d47054268fbbe3249da641322cd33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca5e587917bbd90382872f9136ece888b7bd866218e17d93dcefdc5490c1111",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-11T14:53:00Z",
    "title_canon_sha256": "341272258e1fde0bb5b009dd55f5083fd53fafd12eb3bc32eb594514985879fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1925",
    "kind": "arxiv",
    "version": 1
  }
}