Pith Number

pith:F3X45UIZ

pith:2010:F3X45UIZDME6NGZZFFJN6EK7GU

not attested not anchored not stored refs pending

The Howe duality and polynomial solutions for the symplectic Dirac operator

Hendrik De Bie, Petr Somberg, Vladim\'ir Sou\v{c}ek

arxiv:1002.1053 v3 · 2010-02-04 · 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{F3X45UIZDME6NGZZFFJN6EK7GU}

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	2026-05-18T01:23:26.817087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eefced1191b09e69b392952df115f35215ca04275ba88895e5c0ecb3dcee031

Aliases

arxiv: 1002.1053 · arxiv_version: 1002.1053v3 · doi: 10.48550/arxiv.1002.1053 · pith_short_12: F3X45UIZDME6 · pith_short_16: F3X45UIZDME6NGZZ · pith_short_8: F3X45UIZ

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/F3X45UIZDME6NGZZFFJN6EK7GU \
  | 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: 2eefced1191b09e69b392952df115f35215ca04275ba88895e5c0ecb3dcee031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdb785ca267181f7c5065a5f6df4427c6032c21693e234e834c4ef37ef8b23d8",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-02-04T18:14:17Z",
    "title_canon_sha256": "dc93eb1889c0cb7e8442b2bbc39a12bc47c12e32f911da95e3ab45f11263d8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1053",
    "kind": "arxiv",
    "version": 3
  }
}