Pith Number

pith:6GCL5XGE

pith:2013:6GCL5XGEIIIVQOEGRB74ZJV46O

not attested not anchored not stored refs pending

Differential operators on G/U and the affine Grassmannian

Simon Riche, Victor Ginzburg

arxiv:1306.6754 v2 · 2013-06-28 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GCL5XGEIIIVQOEGRB74ZJV46O}

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	2026-05-18T02:55:48.448547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f184bedcc44211583886887fcca6bcf3a7c68cdcab522f82da2ad2d39594b734

Aliases

arxiv: 1306.6754 · arxiv_version: 1306.6754v2 · doi: 10.48550/arxiv.1306.6754 · pith_short_12: 6GCL5XGEIIIV · pith_short_16: 6GCL5XGEIIIVQOEG · pith_short_8: 6GCL5XGE

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/6GCL5XGEIIIVQOEGRB74ZJV46O \
  | 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: f184bedcc44211583886887fcca6bcf3a7c68cdcab522f82da2ad2d39594b734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e3e0e3185a58e1513257c63255da0c5af1b0a0028028848f8ed4711be8ab40c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-06-28T08:35:16Z",
    "title_canon_sha256": "ba40a69c0608504de675ccb82ecda86bd4ff10526ccb7086bef405285f020c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6754",
    "kind": "arxiv",
    "version": 2
  }
}