Pith Number

pith:Z4AVU6OM

pith:2013:Z4AVU6OMZFD6WHWD6P7R6AWKTC

not attested not anchored not stored refs pending

Linear Koszul Duality II - Coherent sheaves on perfect sheaves

Ivan Mirkovi\'c, Simon Riche

arxiv:1301.3924 v3 · 2013-01-16 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4AVU6OMZFD6WHWD6P7R6AWKTC}

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	2026-05-18T00:44:30.114276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf015a79ccc947eb1ec3f3ff1f02ca98b6242d2558b81fd390ea34a4e3395d87

Aliases

arxiv: 1301.3924 · arxiv_version: 1301.3924v3 · doi: 10.48550/arxiv.1301.3924 · pith_short_12: Z4AVU6OMZFD6 · pith_short_16: Z4AVU6OMZFD6WHWD · pith_short_8: Z4AVU6OM

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/Z4AVU6OMZFD6WHWD6P7R6AWKTC \
  | 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: cf015a79ccc947eb1ec3f3ff1f02ca98b6242d2558b81fd390ea34a4e3395d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e9923f9871f2f832aa4ac3f11daf370cb3f3567e640ed08737f2baf79be5a5a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-16T21:21:53Z",
    "title_canon_sha256": "d6d17ec9326c38d98cec2f90b5ba031ddf85273cf1809c9359dca7cc9eb7f90e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3924",
    "kind": "arxiv",
    "version": 3
  }
}