Pith Number

pith:CD4FKVAW

pith:2011:CD4FKVAWJNRKKEQED4ME5HIWCZ

not attested not anchored not stored refs pending

Parallel submanifolds of the real 2-Grassmannian

Tillmann Jentsch

arxiv:1107.5761 v3 · 2011-07-28 · 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{CD4FKVAWJNRKKEQED4ME5HIWCZ}

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	2026-05-18T03:58:51.303826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10f85554164b62a512041f184e9d16165a2235478fee3c57087afb67fac1b79a

Aliases

arxiv: 1107.5761 · arxiv_version: 1107.5761v3 · doi: 10.48550/arxiv.1107.5761 · pith_short_12: CD4FKVAWJNRK · pith_short_16: CD4FKVAWJNRKKEQE · pith_short_8: CD4FKVAW

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/CD4FKVAWJNRKKEQED4ME5HIWCZ \
  | 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: 10f85554164b62a512041f184e9d16165a2235478fee3c57087afb67fac1b79a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01705fa048ac781892cd45ee600fd831f500dcf8bc83b338ada1b8ba87a0722c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-28T16:34:23Z",
    "title_canon_sha256": "7b31bfc30c505978770ba906550e4e640bfa8cf28dd5791f41847ce3c511c2d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5761",
    "kind": "arxiv",
    "version": 3
  }
}