Pith Number

pith:ZFFXKVBM

pith:2004:ZFFXKVBMTVU4ITYHAQDVYLFXEP

not attested not anchored not stored refs pending

The strong Macdonald conjecture and Hodge theory on the Loop Grassmannian

Constantin Teleman, Ian Grojnowski, Susanna Fishel

arxiv:math/0411355 v1 · 2004-11-16 · math.AG · math.CO · 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{ZFFXKVBMTVU4ITYHAQDVYLFXEP}

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	2026-05-18T01:05:25.637072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c94b75542c9d69c44f0704075c2cb723db8668d4191b6a498206973aefdf78a1

Aliases

arxiv: math/0411355 · arxiv_version: math/0411355v1 · doi: 10.48550/arxiv.math/0411355 · pith_short_12: ZFFXKVBMTVU4 · pith_short_16: ZFFXKVBMTVU4ITYH · pith_short_8: ZFFXKVBM

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/ZFFXKVBMTVU4ITYHAQDVYLFXEP \
  | 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: c94b75542c9d69c44f0704075c2cb723db8668d4191b6a498206973aefdf78a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b747a4ae2faff080547d5311d2ae8bf4eabd8853ea6b3ea69258618487e769",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-11-16T19:26:24Z",
    "title_canon_sha256": "64817ce76ead1a6d6ee6416b9dcb3a2317a0f9947843ab0325aff257c0c7fb7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411355",
    "kind": "arxiv",
    "version": 1
  }
}