Pith Number

pith:CQ5PZSVO

pith:2009:CQ5PZSVOTTHPO4KR5BX6HD6NXS

not attested not anchored not stored refs pending

Clifford structures on Riemannian manifolds

Andrei Moroianu, Uwe Semmelmann

arxiv:0912.4207 v4 · 2009-12-21 · 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{CQ5PZSVOTTHPO4KR5BX6HD6NXS}

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	2026-05-17T23:56:56.580470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143afccaae9ccef77151e86fe38fcdbc8b6b21bb8dfec955244f4ace9976bfbb

Aliases

arxiv: 0912.4207 · arxiv_version: 0912.4207v4 · doi: 10.48550/arxiv.0912.4207 · pith_short_12: CQ5PZSVOTTHP · pith_short_16: CQ5PZSVOTTHPO4KR · pith_short_8: CQ5PZSVO

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/CQ5PZSVOTTHPO4KR5BX6HD6NXS \
  | 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: 143afccaae9ccef77151e86fe38fcdbc8b6b21bb8dfec955244f4ace9976bfbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d898218b4889eeda2dcc380a1b52e17dee644e4f598ae5e4e9bbe1667ca036f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-21T16:45:03Z",
    "title_canon_sha256": "fdb9f3b077a8cfe20f152f3c3445c491d9279f5cfb360db4e548a4991208012f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4207",
    "kind": "arxiv",
    "version": 4
  }
}