Pith Number

pith:UZSWLA3E

pith:2014:UZSWLA3EASWGS4CIGEZN5UA3OJ

not attested not anchored not stored refs pending

Modular perverse sheaves on flag varieties III: positivity conditions

Pramod N. Achar, Simon Riche

arxiv:1408.4189 v1 · 2014-08-19 · 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{UZSWLA3EASWGS4CIGEZN5UA3OJ}

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	2026-05-18T02:44:55.933640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66565836404ac6970483132ded01b725b0406c2484ebe960bceacd8acbaa355

Aliases

arxiv: 1408.4189 · arxiv_version: 1408.4189v1 · doi: 10.48550/arxiv.1408.4189 · pith_short_12: UZSWLA3EASWG · pith_short_16: UZSWLA3EASWGS4CI · pith_short_8: UZSWLA3E

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/UZSWLA3EASWGS4CIGEZN5UA3OJ \
  | 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: a66565836404ac6970483132ded01b725b0406c2484ebe960bceacd8acbaa355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc8905dbfed5f2f74e0ccedb4d7f7b4e08177ef9b00968d4f21b60a037d5080",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-08-19T01:52:20Z",
    "title_canon_sha256": "b9be5323c3cbdfce442da9d5e2d1bee44d54cd44ad0822f0dde655be3f1496aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4189",
    "kind": "arxiv",
    "version": 1
  }
}