Pith Number

pith:3GQR47MA

pith:2022:3GQR47MA5BQ3Z3T7OSWWRXAHJE

not attested not anchored not stored refs pending

Homogeneous ACM bundles on exceptional Grassmannians

Peng Ren, Xinyi Fang, Yusuke Nakayama

arxiv:2211.02275 v2 · 2022-11-04 · 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{3GQR47MA5BQ3Z3T7OSWWRXAHJE}

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	2026-07-05T07:05:40.616354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a11e7d80e861bcee7f74ad68dc074932a3a8ae782ae20e25c4ecb6a9b6aadb

Aliases

arxiv: 2211.02275 · arxiv_version: 2211.02275v2 · doi: 10.48550/arxiv.2211.02275 · pith_short_12: 3GQR47MA5BQ3 · pith_short_16: 3GQR47MA5BQ3Z3T7 · pith_short_8: 3GQR47MA

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/3GQR47MA5BQ3Z3T7OSWWRXAHJE \
  | 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: d9a11e7d80e861bcee7f74ad68dc074932a3a8ae782ae20e25c4ecb6a9b6aadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed1d2f8f5d24f2d86b628a39c0ff640e3133aced9754b68ea441d33243974797",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-11-04T06:19:13Z",
    "title_canon_sha256": "ab4504a5fe24af4a9c0d1d13a366704019bc9def53d5058c09c4280fd8d79084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.02275",
    "kind": "arxiv",
    "version": 2
  }
}