Pith Number

pith:2UENUQVO

pith:2008:2UENUQVOXS4CQPREL5XOVQDQNR

not attested not anchored not stored refs pending

Linear Koszul Duality

Ivan Mirkovi\'c, Simon Riche

arxiv:0804.0923 v2 · 2008-04-06 · 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{2UENUQVOXS4CQPREL5XOVQDQNR}

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	2026-05-17T23:53:39.545694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d508da42aebcb8283e245f6eeac0706c4f627efbae4301b04c4f3ca3e7944ca3

Aliases

arxiv: 0804.0923 · arxiv_version: 0804.0923v2 · doi: 10.48550/arxiv.0804.0923 · pith_short_12: 2UENUQVOXS4C · pith_short_16: 2UENUQVOXS4CQPRE · pith_short_8: 2UENUQVO

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/2UENUQVOXS4CQPREL5XOVQDQNR \
  | 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: d508da42aebcb8283e245f6eeac0706c4f627efbae4301b04c4f3ca3e7944ca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d6ccc83ff765f6a3d75f45392915b892fb02495877483cbfafee147ba2486e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-04-06T17:52:43Z",
    "title_canon_sha256": "ad5c5b119352c61d3cf04c84b06e8359cfbaf5ef31759d087a82b81a052b52ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0923",
    "kind": "arxiv",
    "version": 2
  }
}