Pith Number

pith:SOVA3GXL

pith:2015:SOVA3GXL5SFHL3L5INHTX6E7GZ

not attested not anchored not stored refs pending

Representation ring of Levi subgroups versus cohomology ring of flag varieties

Shrawan Kumar

arxiv:1508.06826 v1 · 2015-08-27 · 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{SOVA3GXL5SFHL3L5INHTX6E7GZ}

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	2026-05-18T01:34:40.898646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93aa0d9aebec8a75ed7d434f3bf89f3646459c0b70c1c66e706fd1ca4a16a9d8

Aliases

arxiv: 1508.06826 · arxiv_version: 1508.06826v1 · doi: 10.48550/arxiv.1508.06826 · pith_short_12: SOVA3GXL5SFH · pith_short_16: SOVA3GXL5SFHL3L5 · pith_short_8: SOVA3GXL

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/SOVA3GXL5SFHL3L5INHTX6E7GZ \
  | 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: 93aa0d9aebec8a75ed7d434f3bf89f3646459c0b70c1c66e706fd1ca4a16a9d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da329663141b82ad7e5779ca5279651aea60692bd4035d335bd42c0291506db6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-08-27T12:29:26Z",
    "title_canon_sha256": "a7787e26391fd128c7eb1d9baa74ddae22ef647db8ceb6072f04cad0e5e646b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06826",
    "kind": "arxiv",
    "version": 1
  }
}