Pith Number

pith:DQGZA24H

pith:2015:DQGZA24HGEM45ACFKY6CWA5ORX

not attested not anchored not stored refs pending

The Cotangent Bundle of a Cominuscule Grassmannian

Vijay Ravikumar, V. Lakshmibai, William Slofstra

arxiv:1505.04270 v1 · 2015-05-16 · 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{DQGZA24HGEM45ACFKY6CWA5ORX}

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	2026-05-18T02:07:25.907507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c0d906b873119ce8045563c2b03ae8dd5b9827b02448d6acef2c366bd7ea1c1

Aliases

arxiv: 1505.04270 · arxiv_version: 1505.04270v1 · doi: 10.48550/arxiv.1505.04270 · pith_short_12: DQGZA24HGEM4 · pith_short_16: DQGZA24HGEM45ACF · pith_short_8: DQGZA24H

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/DQGZA24HGEM45ACFKY6CWA5ORX \
  | 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: 1c0d906b873119ce8045563c2b03ae8dd5b9827b02448d6acef2c366bd7ea1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf7b2b00198323b71609b41b92e01c0fdc09f7568e03388805d12d8700ed3aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-16T12:36:13Z",
    "title_canon_sha256": "d9ae024b4c9a6628f1df466a3019cafc38394ed08807c9d7debec0d7f576cd9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04270",
    "kind": "arxiv",
    "version": 1
  }
}