Pith Number

pith:DYBATZHD

pith:2011:DYBATZHDGYJOXYD6FB54GVSNVS

not attested not anchored not stored refs pending

MPS degeneration formula for quiver moduli and refined GW/Kronecker correspondence

Jacopo Stoppa, Markus Reineke, Thorsten Weist

arxiv:1110.4847 v1 · 2011-10-21 · math.AG · 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{DYBATZHDGYJOXYD6FB54GVSNVS}

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	2026-05-18T01:22:28.851425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e0209e4e33612ebe07e287bc3564dac9d2f5e3efbedbade0d528dea8b8a4efd

Aliases

arxiv: 1110.4847 · arxiv_version: 1110.4847v1 · doi: 10.48550/arxiv.1110.4847 · pith_short_12: DYBATZHDGYJO · pith_short_16: DYBATZHDGYJOXYD6 · pith_short_8: DYBATZHD

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/DYBATZHDGYJOXYD6FB54GVSNVS \
  | 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: 1e0209e4e33612ebe07e287bc3564dac9d2f5e3efbedbade0d528dea8b8a4efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f619ad1c8b22cd62c1d2d0e1bac772055d491c155e21cee0d173b58446b92bfb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-21T17:21:54Z",
    "title_canon_sha256": "41e82f406a4a5f7cf70bbbde7c6d41d584aa343ca751dd4322e6a8de792ab6b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4847",
    "kind": "arxiv",
    "version": 1
  }
}