Pith Number

pith:5XCDCLPS

pith:2014:5XCDCLPS7GH7ISQDSAZ7RSIRXE

not attested not anchored not stored refs pending

Modular perverse sheaves on flag varieties II: Koszul duality and formality

Pramod N. Achar, Simon Riche

arxiv:1401.7256 v2 · 2014-01-28 · 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{5XCDCLPS7GH7ISQDSAZ7RSIRXE}

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	2026-05-18T01:21:05.524154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edc4312df2f98ff44a039033f8c911b9337cdd6e7e02b3cd45d2e9862e05532d

Aliases

arxiv: 1401.7256 · arxiv_version: 1401.7256v2 · doi: 10.48550/arxiv.1401.7256 · pith_short_12: 5XCDCLPS7GH7 · pith_short_16: 5XCDCLPS7GH7ISQD · pith_short_8: 5XCDCLPS

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/5XCDCLPS7GH7ISQDSAZ7RSIRXE \
  | 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: edc4312df2f98ff44a039033f8c911b9337cdd6e7e02b3cd45d2e9862e05532d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1340d5270df9a41cd11d2eb0b9a0a6fba3389182fd48462141eead44f34d174a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-01-28T16:58:34Z",
    "title_canon_sha256": "5d1ed72edbc08e159110da4c0bc8c8497b7c0bee510cbe158cffc7c859778e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7256",
    "kind": "arxiv",
    "version": 2
  }
}