Pith Number

pith:DCAFW7I2

pith:2019:DCAFW7I2QM5QJACIAG7DA6DXM4

not attested not anchored not stored refs pending

Parabolic subgroups and Automorphism groups of Schubert varieties

Pinakinath Saha, S.Senthamarai Kannan

arxiv:1908.04768 v1 · 2019-08-13 · math.AG · math.CO · 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{DCAFW7I2QM5QJACIAG7DA6DXM4}

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	2026-07-05T03:27:24.085784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18805b7d1a833b04804801be3078776727cf50c05a27324189a07c739fd3ca92

Aliases

arxiv: 1908.04768 · arxiv_version: 1908.04768v1 · doi: 10.48550/arxiv.1908.04768 · pith_short_12: DCAFW7I2QM5Q · pith_short_16: DCAFW7I2QM5QJACI · pith_short_8: DCAFW7I2

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/DCAFW7I2QM5QJACIAG7DA6DXM4 \
  | 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: 18805b7d1a833b04804801be3078776727cf50c05a27324189a07c739fd3ca92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c79358534f51d5d4e1e6eb3cdcdb3111f7f71649ca3d0659483ae61f854fc7c",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-13T17:30:24Z",
    "title_canon_sha256": "2811e555eb8884a2de6c2b14aede73dcacfeda63136dcbe06c61bb5b5ec10dc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04768",
    "kind": "arxiv",
    "version": 1
  }
}