Pith Number

pith:EU5J2PUY

pith:2011:EU5J2PUYK27IIE54NICPH7NJWO

not attested not anchored not stored refs pending

Cohomology of Line Bundles on the Flag Variety for Type G_2

Henning Haahr Andersen, Masaharu Kaneda

arxiv:1107.3055 v2 · 2011-07-15 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU5J2PUYK27IIE54NICPH7NJWO}

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	2026-05-18T04:13:06.841435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253a9d3e9856be8413bc6a04f3fda9b38a33ebcf373adfe1085daad4eba81393

Aliases

arxiv: 1107.3055 · arxiv_version: 1107.3055v2 · doi: 10.48550/arxiv.1107.3055 · pith_short_12: EU5J2PUYK27I · pith_short_16: EU5J2PUYK27IIE54 · pith_short_8: EU5J2PUY

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/EU5J2PUYK27IIE54NICPH7NJWO \
  | 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: 253a9d3e9856be8413bc6a04f3fda9b38a33ebcf373adfe1085daad4eba81393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "147de637b2ed97e3e2b51396dd8171c9b49280a1efba21f5be0cbb47ff61b8ba",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-15T12:26:16Z",
    "title_canon_sha256": "0c84ef676de62bdc3fdc44119e932161317d89d7505a018d5eeaed66a361ae32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3055",
    "kind": "arxiv",
    "version": 2
  }
}