Pith Number

pith:ZRRBN2HZ

pith:2007:ZRRBN2HZ5N7ZQ4THHUYDDYVEFG

not attested not anchored not stored refs pending

The decomposition of the spinor bundle of Grassmann manifolds

Frank Klinker

arxiv:0710.3245 v2 · 2007-10-17 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRRBN2HZ5N7ZQ4THHUYDDYVEFG}

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	2026-05-18T04:21:50.913285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc6216e8f9eb7f9872673d3031e2a4299ebec3b7f32d58d6d388411f60a851e0

Aliases

arxiv: 0710.3245 · arxiv_version: 0710.3245v2 · doi: 10.48550/arxiv.0710.3245 · pith_short_12: ZRRBN2HZ5N7Z · pith_short_16: ZRRBN2HZ5N7ZQ4TH · pith_short_8: ZRRBN2HZ

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/ZRRBN2HZ5N7ZQ4THHUYDDYVEFG \
  | 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: cc6216e8f9eb7f9872673d3031e2a4299ebec3b7f32d58d6d388411f60a851e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6da781cd30684a2c8bd80acb23db853fa11430a490a734c54f344b56e8f88bc2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-10-17T09:17:46Z",
    "title_canon_sha256": "95701f38f2b4653d7bfe05c610136973c2251c90bc0928a15a1bf1e9f796998b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3245",
    "kind": "arxiv",
    "version": 2
  }
}