Pith Number

pith:RY52HF5G

pith:2012:RY52HF5GOGPHC356IUUSRLLZIC

not attested not anchored not stored refs pending

On the Dimension of the Group of Projective Transformations of Closed Randers and Riemannian Manifolds

Vladimir S. Matveev

arxiv:1201.3575 v2 · 2012-01-17 · 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{RY52HF5GOGPHC356IUUSRLLZIC}

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	2026-05-18T01:31:04.161679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3ba397a6719e716fbe452928ad79408516f06d26270b46952215e41a433bc1

Aliases

arxiv: 1201.3575 · arxiv_version: 1201.3575v2 · doi: 10.48550/arxiv.1201.3575 · pith_short_12: RY52HF5GOGPH · pith_short_16: RY52HF5GOGPHC356 · pith_short_8: RY52HF5G

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/RY52HF5GOGPHC356IUUSRLLZIC \
  | 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: 8e3ba397a6719e716fbe452928ad79408516f06d26270b46952215e41a433bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f94998af5b7d9c85550817092c6b0b0d78760f7372b163df884d79c3174f8a2f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-17T17:57:48Z",
    "title_canon_sha256": "27434612e09ec30f5cc116d65f88134f708c35da238ccb5acfcc58313686ac8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3575",
    "kind": "arxiv",
    "version": 2
  }
}