Pith Number

pith:YQITGUAD

pith:2004:YQITGUADDPKHINYBNVKK5E3STI

not attested not anchored not stored refs pending

Hilbert functions of points on Schubert varieties in the Symplectic Grassmannian

K. N. Raghavan, Sudhir R. Ghorpade

arxiv:math/0409338 v3 · 2004-09-20 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQITGUADDPKHINYBNVKK5E3STI}

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	2026-05-18T04:29:43.900180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4113350031bd47437016d54ae93729a05b8d766b4d0fd87cc36f0d07e73a103

Aliases

arxiv: math/0409338 · arxiv_version: math/0409338v3 · doi: 10.48550/arxiv.math/0409338 · pith_short_12: YQITGUADDPKH · pith_short_16: YQITGUADDPKHINYB · pith_short_8: YQITGUAD

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/YQITGUADDPKHINYBNVKK5E3STI \
  | 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: c4113350031bd47437016d54ae93729a05b8d766b4d0fd87cc36f0d07e73a103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5505d1a4560a4595d95d66981ba90a23e57ae86cc5aa304f1e1218fb48528392",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-09-20T06:36:26Z",
    "title_canon_sha256": "ce85ef8f9abfad8508802ea20318994a7fd8b1d006540c60509f541672f711bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409338",
    "kind": "arxiv",
    "version": 3
  }
}