Pith Number

pith:E72CYXVD

pith:2012:E72CYXVDXBZ6VKFRXZ3FRAKYJ7

not attested not anchored not stored refs pending

Kostant--Kumar polynomials and tangent cones to Schubert varieties for involutions in $A_n$, $F_4$ and $G_2$

Dmitriy Y. Eliseev, Mikhail V. Ignatyev

arxiv:1210.5740 v1 · 2012-10-21 · math.RT · 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{E72CYXVDXBZ6VKFRXZ3FRAKYJ7}

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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	2026-05-18T02:40:03.527612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27f42c5ea3b873eaa8b1be765881584fcffa724101a287e5f2c6378656820378

Aliases

arxiv: 1210.5740 · arxiv_version: 1210.5740v1 · doi: 10.48550/arxiv.1210.5740 · pith_short_12: E72CYXVDXBZ6 · pith_short_16: E72CYXVDXBZ6VKFR · pith_short_8: E72CYXVD

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/E72CYXVDXBZ6VKFRXZ3FRAKYJ7 \
  | 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: 27f42c5ea3b873eaa8b1be765881584fcffa724101a287e5f2c6378656820378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "925ce552d66179dad4df6363951135c47680262c615f8b9fc98033caf7eff62b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-21T17:36:33Z",
    "title_canon_sha256": "c56b6e3b019543e0ec7db53ed935c0d4ebe94506760f5d6d2a2e3b4f08610a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5740",
    "kind": "arxiv",
    "version": 1
  }
}