Pith Number

pith:XEOY6NES

pith:2025:XEOY6NESG6U5XJ7DFXXK42DPX2

not attested not anchored not stored refs pending

Perversity of coinvariants of affine Springer sheaves

Alexis Bouthier, David Kazhdan, Yakov Varshavsky

arxiv:2506.19390 v1 · 2025-06-24 · math.AG · 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{XEOY6NESG6U5XJ7DFXXK42DPX2}

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	2026-07-05T11:26:14.391461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91d8f349237a9dba7e32deeae686fbea3b7f06d81623b26fb2e8ae0fdd8ea2f

Aliases

arxiv: 2506.19390 · arxiv_version: 2506.19390v1 · doi: 10.48550/arxiv.2506.19390 · pith_short_12: XEOY6NESG6U5 · pith_short_16: XEOY6NESG6U5XJ7D · pith_short_8: XEOY6NES

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/XEOY6NESG6U5XJ7DFXXK42DPX2 \
  | 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: b91d8f349237a9dba7e32deeae686fbea3b7f06d81623b26fb2e8ae0fdd8ea2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dde3c4de4703d4c5a4e82cef307ee229b29731bcc0f0e34a0d6fdb0a82c7549",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-24T07:39:42Z",
    "title_canon_sha256": "0bdf67644a26fc577ec88be99d6fc3af9c56ef8e5f41f597acdb539a2faf573f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19390",
    "kind": "arxiv",
    "version": 1
  }
}