Pith Number

pith:S52TXBEV

pith:2011:S52TXBEVYYQP6T5JP344CZHSTB

not attested not anchored not stored refs pending

On Euler characteristics for large Kronecker quivers

So Okada

arxiv:1106.4238 v2 · 2011-06-21 · math.AG · math.NT · math.RA · math.RT · 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{S52TXBEVYYQP6T5JP344CZHSTB}

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	2026-05-18T03:29:14.100089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97753b8495c620ff4fa97ef9c164f298726ff9df1f7a40110fa6a0c3ae6a74fc

Aliases

arxiv: 1106.4238 · arxiv_version: 1106.4238v2 · doi: 10.48550/arxiv.1106.4238 · pith_short_12: S52TXBEVYYQP · pith_short_16: S52TXBEVYYQP6T5J · pith_short_8: S52TXBEV

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/S52TXBEVYYQP6T5JP344CZHSTB \
  | 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: 97753b8495c620ff4fa97ef9c164f298726ff9df1f7a40110fa6a0c3ae6a74fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7270735c7c5640a04a435bcbbf48506ecaf1e1db22413931442f7623a20c362a",
    "cross_cats_sorted": [
      "math.NT",
      "math.RA",
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-21T15:39:29Z",
    "title_canon_sha256": "144793c5bd8e947d040ae2d5c27d8024b8167b65cd9d040b3b7060bd3aa0ab98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4238",
    "kind": "arxiv",
    "version": 2
  }
}