Pith Number

pith:2HZHROBZ

pith:2024:2HZHROBZUPYUYYU7GOOKCPSKF4

not attested not anchored not stored refs pending

The Langlands formula and perverse sheaves

Jiangfan Yuan, Mikhail Kapranov, Olivier Schiffmann, Vadim Schechtman

arxiv:2412.01638 v1 · 2024-12-02 · math.RT · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HZHROBZUPYUYYU7GOOKCPSKF4}

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

Langlands Duality and Invariant Differential Operators

Receipt and verification

First computed	2026-07-05T09:43:16.478856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1f278b839a3f14c629f339ca13e4a2f2eaf85e0dd90e92a9c2dbfdb66affb6f

Aliases

arxiv: 2412.01638 · arxiv_version: 2412.01638v1 · doi: 10.48550/arxiv.2412.01638 · pith_short_12: 2HZHROBZUPYU · pith_short_16: 2HZHROBZUPYUYYU7 · pith_short_8: 2HZHROBZ

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/2HZHROBZUPYUYYU7GOOKCPSKF4 \
  | 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: d1f278b839a3f14c629f339ca13e4a2f2eaf85e0dd90e92a9c2dbfdb66affb6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c824f28f9e555ca3658c2bb4097afb4b0860d03d1edeeba7cbb4d00b6b7be0e",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-12-02T15:49:58Z",
    "title_canon_sha256": "4807692d412ce1b694a37faf595c39e80813ce16d5b4b883ff3c1f324b3333f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01638",
    "kind": "arxiv",
    "version": 1
  }
}