Pith Number

pith:6KM2YUD2

pith:2008:6KM2YUD2YXFNTMTNVGUMRIIKIN

not attested not anchored not stored refs pending

Ruled Lagrangian Submanifolds of the 6-Sphere

Jason D. Lotay

arxiv:0807.2084 v2 · 2008-07-14 · 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{6KM2YUD2YXFNTMTNVGUMRIIKIN}

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	2026-05-18T04:06:55.432150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f299ac507ac5cad9b26da9a8c8a10a43463e6f6cca9eba1e97a1650f0e97b5a3

Aliases

arxiv: 0807.2084 · arxiv_version: 0807.2084v2 · doi: 10.48550/arxiv.0807.2084 · pith_short_12: 6KM2YUD2YXFN · pith_short_16: 6KM2YUD2YXFNTMTN · pith_short_8: 6KM2YUD2

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/6KM2YUD2YXFNTMTNVGUMRIIKIN \
  | 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: f299ac507ac5cad9b26da9a8c8a10a43463e6f6cca9eba1e97a1650f0e97b5a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c1c75bf31f3e483d6597a849f568837125cb2586fce03ed77a37a279e1bf9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-07-14T04:58:29Z",
    "title_canon_sha256": "d785be65732d44449fc9441a32cea7281c6d5489698e3957d3d3135dcc502265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2084",
    "kind": "arxiv",
    "version": 2
  }
}