Pith Number

pith:SQ4V2UYV

pith:2011:SQ4V2UYVGCQVPCDQSBLMNZLG2P

not attested not anchored not stored refs pending

Affine braid group actions on derived categories of Springer resolutions

Roman Bezrukavnikov, Simon Riche

arxiv:1101.3702 v2 · 2011-01-19 · 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{SQ4V2UYVGCQVPCDQSBLMNZLG2P}

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	2026-05-18T04:22:02.142414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94395d531530a15788709056c6e566d3f339c0c0fee69dec62a0e3df0f661343

Aliases

arxiv: 1101.3702 · arxiv_version: 1101.3702v2 · doi: 10.48550/arxiv.1101.3702 · pith_short_12: SQ4V2UYVGCQV · pith_short_16: SQ4V2UYVGCQVPCDQ · pith_short_8: SQ4V2UYV

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/SQ4V2UYVGCQVPCDQSBLMNZLG2P \
  | 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: 94395d531530a15788709056c6e566d3f339c0c0fee69dec62a0e3df0f661343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02bd391cda24c2a0d839626121e30335ca5e68568256087c7eb6310ee201096",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-19T15:02:44Z",
    "title_canon_sha256": "d0df3d7fb228ee66021b41345f05074e4acf9e5af13d954917bcd56f4e9c9c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3702",
    "kind": "arxiv",
    "version": 2
  }
}