Pith Number

pith:Z6AUQ636

pith:2015:Z6AUQ6366CT5V7CJP4GSIICO5L

not attested not anchored not stored refs pending

Microlocal sheaves and quiver varieties

Mikhail Kapranov, Roman Bezrukavnikov

arxiv:1506.07050 v2 · 2015-06-23 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6AUQ6366CT5V7CJP4GSIICO5L}

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.

Cited by

1 paper in Pith

Compatible Poisson structures on multiplicative quiver varieties

Receipt and verification

First computed	2026-05-18T01:37:44.156591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf81487b7ef0a7dafc497f0d24204eeae4bc292432cf61d1c936d2061bc20ddc

Aliases

arxiv: 1506.07050 · arxiv_version: 1506.07050v2 · doi: 10.48550/arxiv.1506.07050 · pith_short_12: Z6AUQ6366CT5 · pith_short_16: Z6AUQ6366CT5V7CJ · pith_short_8: Z6AUQ636

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/Z6AUQ6366CT5V7CJP4GSIICO5L \
  | 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: cf81487b7ef0a7dafc497f0d24204eeae4bc292432cf61d1c936d2061bc20ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491554bf8428d44a629b12848d60fe493d746cdaea576657cb71d0c53f4aae23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-06-23T15:32:10Z",
    "title_canon_sha256": "2f23b339d0cbd189ad5aed068ffbb1c0e710d63f9b446be3af741546a04ef836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07050",
    "kind": "arxiv",
    "version": 2
  }
}