Pith Number

pith:WOSHTYEG

pith:2016:WOSHTYEGIMXXPJCZKRWNBGYMHK

not attested not anchored not stored refs pending

On embeddings of the Grassmannian $Gr(2,m)$ into the Grassmannian $Gr(2,n)$

Minhyuk Kwon

arxiv:1609.06827 v3 · 2016-09-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOSHTYEGIMXXPJCZKRWNBGYMHK}

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	2026-05-18T00:50:42.465552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3a479e086432f77a459546cd09b0c3ab8d87706bb04b6880cd7b9c2a0432f5f

Aliases

arxiv: 1609.06827 · arxiv_version: 1609.06827v3 · doi: 10.48550/arxiv.1609.06827 · pith_short_12: WOSHTYEGIMXX · pith_short_16: WOSHTYEGIMXXPJCZ · pith_short_8: WOSHTYEG

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/WOSHTYEGIMXXPJCZKRWNBGYMHK \
  | 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: b3a479e086432f77a459546cd09b0c3ab8d87706bb04b6880cd7b9c2a0432f5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5fec2901f19282e539dc78300802580a0b0eae1a57d46b4d920c104776497a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-22T05:51:37Z",
    "title_canon_sha256": "45487b93902ef94f855efc4c2572c3ec3c3c319827762fc76e5722c7c7d1f58e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06827",
    "kind": "arxiv",
    "version": 3
  }
}