Pith Number

pith:4UIHXUHP

pith:2004:4UIHXUHPUR3DPM7XC4HXN2UUJP

not attested not anchored not stored refs pending

Eigenvalue problem and a new product in cohomology of flag varieties

Prakash Belkale, Shrawan Kumar

arxiv:math/0407034 v2 · 2004-07-02 · math.AG · 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{4UIHXUHPUR3DPM7XC4HXN2UUJP}

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	2026-05-18T01:05:26.253299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5107bd0efa47637b3f7170f76ea944bea2e01de8bba57a6c42b8cc1bbf3cc60

Aliases

arxiv: math/0407034 · arxiv_version: math/0407034v2 · doi: 10.48550/arxiv.math/0407034 · pith_short_12: 4UIHXUHPUR3D · pith_short_16: 4UIHXUHPUR3DPM7X · pith_short_8: 4UIHXUHP

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/4UIHXUHPUR3DPM7XC4HXN2UUJP \
  | 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: e5107bd0efa47637b3f7170f76ea944bea2e01de8bba57a6c42b8cc1bbf3cc60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176b4203301ee669fc0859ebebe7eb3db60c7734c5a2a29af0d598bc7e3da626",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-07-02T18:14:53Z",
    "title_canon_sha256": "eafaf8e8898d1e8561d5f0ca318756e833770fac0587f58ccc7991ca050a2823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407034",
    "kind": "arxiv",
    "version": 2
  }
}