Pith Number

pith:5MX5K7HR

pith:2012:5MX5K7HRHRQ2YBAKSYFYJOMIBK

not attested not anchored not stored refs pending

Twisted global section functor for D-modules on affine Grassmannian

Giorgia Fortuna, Tsao-Hsien Chen

arxiv:1212.1926 v1 · 2012-12-09 · 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{5MX5K7HRHRQ2YBAKSYFYJOMIBK}

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	2026-05-18T03:38:54.760429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2fd57cf13c61ac040a960b84b9880aa57408d7e284f721d15f16faec42794f

Aliases

arxiv: 1212.1926 · arxiv_version: 1212.1926v1 · doi: 10.48550/arxiv.1212.1926 · pith_short_12: 5MX5K7HRHRQ2 · pith_short_16: 5MX5K7HRHRQ2YBAK · pith_short_8: 5MX5K7HR

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/5MX5K7HRHRQ2YBAKSYFYJOMIBK \
  | 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: eb2fd57cf13c61ac040a960b84b9880aa57408d7e284f721d15f16faec42794f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "879e852e6bbdef495e8d75001d6fffa500ba44caae1903d7fcb2e1c0ed38cf87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-09T22:19:39Z",
    "title_canon_sha256": "daab5f23ce2afee82766133d58624e1802cc4528b981607d4b8f50a36b2322aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1926",
    "kind": "arxiv",
    "version": 1
  }
}