Pith Number

pith:5AWJ2USC

pith:2019:5AWJ2USC5I5Q4UTFFPGFPNTZFJ

not attested not anchored not stored refs pending

Representation ring of Levi subgroups versus cohomology ring of flag varieties II

Sean Rogers, Shrawan Kumar

arxiv:1907.10089 v1 · 2019-07-19 · math.RT · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AWJ2USC5I5Q4UTFFPGFPNTZFJ}

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	2026-05-17T23:39:39.072649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82c9d5242ea3b0e52652bcc57b6792a7e1c463e9cf674ad06042413f3966d84

Aliases

arxiv: 1907.10089 · arxiv_version: 1907.10089v1 · doi: 10.48550/arxiv.1907.10089 · pith_short_12: 5AWJ2USC5I5Q · pith_short_16: 5AWJ2USC5I5Q4UTF · pith_short_8: 5AWJ2USC

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/5AWJ2USC5I5Q4UTFFPGFPNTZFJ \
  | 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: e82c9d5242ea3b0e52652bcc57b6792a7e1c463e9cf674ad06042413f3966d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700bfea4f96ecc77a1e2a1ed33a3cbda2d3eeac4c4376bcc8da09ea00be0612c",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-07-19T18:42:54Z",
    "title_canon_sha256": "0d2df5a1ada1c598d7a1ea7a2ab8245ea345af927785fc220e7610b70461a0dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10089",
    "kind": "arxiv",
    "version": 1
  }
}