Pith Number

pith:2TOV42IE

pith:2012:2TOV42IEIMKUXJRDM3VIK72CN5

not attested not anchored not stored refs pending

Vanishing cycles on Poisson varieties

Dmitry Kubrak, Michael Finkelberg

arxiv:1212.3051 v2 · 2012-12-13 · 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{2TOV42IEIMKUXJRDM3VIK72CN5}

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

Affine Springer fiber and the small quantum group

Receipt and verification

First computed	2026-05-18T01:51:48.864186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4dd5e690443154ba62366ea857f426f58b45322dff2dfee333f2184e221429e

Aliases

arxiv: 1212.3051 · arxiv_version: 1212.3051v2 · doi: 10.48550/arxiv.1212.3051 · pith_short_12: 2TOV42IEIMKU · pith_short_16: 2TOV42IEIMKUXJRD · pith_short_8: 2TOV42IE

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/2TOV42IEIMKUXJRDM3VIK72CN5 \
  | 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: d4dd5e690443154ba62366ea857f426f58b45322dff2dfee333f2184e221429e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f44e8e8ad43840acf65993a59ebea040e9d994feb2456b77817cddbb7d11580",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-13T05:12:45Z",
    "title_canon_sha256": "0ef0359d95bdc6789943c40111ae78be52fa9849840a6258b6376fb5ffa555aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3051",
    "kind": "arxiv",
    "version": 2
  }
}