Pith Number

pith:6VV2TL6R

pith:2011:6VV2TL6RQ7WVW42I4GKUVV75SV

not attested not anchored not stored refs pending

On the geometry of four dimensional Riemannian manifold with a circulant metric and a circulant affinor structure

Dimitar Razpopov

arxiv:1110.1820 v1 · 2011-10-09 · 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{6VV2TL6RQ7WVW42I4GKUVV75SV}

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	2026-05-18T01:17:01.583908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f56ba9afd187ed5b7348e1954ad7fd9543ad46f0187579d3b44745928ed526c3

Aliases

arxiv: 1110.1820 · arxiv_version: 1110.1820v1 · doi: 10.48550/arxiv.1110.1820 · pith_short_12: 6VV2TL6RQ7WV · pith_short_16: 6VV2TL6RQ7WVW42I · pith_short_8: 6VV2TL6R

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/6VV2TL6RQ7WVW42I4GKUVV75SV \
  | 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: f56ba9afd187ed5b7348e1954ad7fd9543ad46f0187579d3b44745928ed526c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a603c92b6d9c842395a0e095fd32ccb5fd91e77eabacae34f473bca8766c4ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-09T10:50:12Z",
    "title_canon_sha256": "3260db249b80ea0f593d682fa4258e7133eda49d63ea65c6bfe32988b8c5440e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1820",
    "kind": "arxiv",
    "version": 1
  }
}