Pith Number

pith:7JMARIEN

pith:1998:7JMARIENXPXTCSGID5KN2PM2QX

not attested not anchored not stored refs pending

Equivariant D-modules

Ryoshi Hotta

arxiv:math/9805021 v1 · 1998-05-06 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JMARIENXPXTCSGID5KN2PM2QX}

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.

Cited by

1 paper in Pith

Hypergeometric $\mathcal D$-modules and exponential sums for reductive groups

Receipt and verification

First computed	2026-07-04T14:40:39.482713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa5808a08dbbef3148c81f54dd3d9a85e1c7789d156e41c0cf66792bd417b478

Aliases

arxiv: math/9805021 · arxiv_version: math/9805021v1 · doi: 10.48550/arxiv.math/9805021 · pith_short_12: 7JMARIENXPXT · pith_short_16: 7JMARIENXPXTCSGI · pith_short_8: 7JMARIEN

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/7JMARIENXPXTCSGID5KN2PM2QX \
  | 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: fa5808a08dbbef3148c81f54dd3d9a85e1c7789d156e41c0cf66792bd417b478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64173ec9c9e0067959b35b3c32d08ac6d4f8c04391394077ec1a05b1c376f0da",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "1998-05-06T07:03:09Z",
    "title_canon_sha256": "a043e28c3f58ee02cf4402f4ad24c06a57a31a628b33490ef790d24265f0e0b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9805021",
    "kind": "arxiv",
    "version": 1
  }
}