Pith Number

pith:JYU3MUMO

pith:2011:JYU3MUMOJFDOR35WLBXSM5VELD

not attested not anchored not stored refs pending

Kirillov's formula and Guillemin-Sternberg conjecture

Michel Duflo, Mich\`ele Vergne

arxiv:1110.0987 v1 · 2011-10-05 · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYU3MUMOJFDOR35WLBXSM5VELD}

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	2026-05-18T04:11:40.095419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e29b6518e4946e8efb6586f2676a458edb60a48729881de610e3f603366c57e

Aliases

arxiv: 1110.0987 · arxiv_version: 1110.0987v1 · doi: 10.48550/arxiv.1110.0987 · pith_short_12: JYU3MUMOJFDO · pith_short_16: JYU3MUMOJFDOR35W · pith_short_8: JYU3MUMO

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/JYU3MUMOJFDOR35WLBXSM5VELD \
  | 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: 4e29b6518e4946e8efb6586f2676a458edb60a48729881de610e3f603366c57e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78648d97df0c0985fd18dd71d78f5ee417deb8c3e31e29a34fd2a38c97109b71",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-05T14:00:44Z",
    "title_canon_sha256": "63bbdb5129314a8ec53aee929eed09f5d90802980b3fe4b4ea1d244cb7621841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0987",
    "kind": "arxiv",
    "version": 1
  }
}