Pith Number

pith:WSBUALEM

pith:2014:WSBUALEM6STCWQ3HROVL2EWO43

not attested not anchored not stored refs pending

$\GL(V)$-invariant Ulrich bundles on Grassmannians

L. Costa, R.M. Mir\'o-Roig

arxiv:1407.2779 v1 · 2014-07-10 · 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{WSBUALEM6STCWQ3HROVL2EWO43}

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	2026-05-18T02:47:53.676393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b483402c8cf4a62b43678baabd12cee6ddcbcf18251506e8c72ec211018a894a

Aliases

arxiv: 1407.2779 · arxiv_version: 1407.2779v1 · doi: 10.48550/arxiv.1407.2779 · pith_short_12: WSBUALEM6STC · pith_short_16: WSBUALEM6STCWQ3H · pith_short_8: WSBUALEM

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/WSBUALEM6STCWQ3HROVL2EWO43 \
  | 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: b483402c8cf4a62b43678baabd12cee6ddcbcf18251506e8c72ec211018a894a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdd4a286497c1b0c4f05e71773e25da6739b72528d58e954f1ee1dc972e7a4d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-10T13:29:09Z",
    "title_canon_sha256": "241a5c94fef61f41910dc8f0e3b0e6e3cf853188595de961b9bd51b5a337959e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2779",
    "kind": "arxiv",
    "version": 1
  }
}