Pith Number

pith:PBK6AECF

pith:2015:PBK6AECFYH4SV5HH4M2MMJKW3W

not attested not anchored not stored refs pending

Singularities of moduli spaces of sheaves on K3 surfaces and Nakajima quiver varieties

Enrico Arbarello, Giulia Sacc\`a

arxiv:1505.00759 v5 · 2015-05-04 · 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{PBK6AECFYH4SV5HH4M2MMJKW3W}

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	2026-05-18T00:21:38.064524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7855e01045c1f92af4e7e334c62556dd9ff8a6349568b09f6ebd3b4da0194c77

Aliases

arxiv: 1505.00759 · arxiv_version: 1505.00759v5 · doi: 10.48550/arxiv.1505.00759 · pith_short_12: PBK6AECFYH4S · pith_short_16: PBK6AECFYH4SV5HH · pith_short_8: PBK6AECF

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/PBK6AECFYH4SV5HH4M2MMJKW3W \
  | 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: 7855e01045c1f92af4e7e334c62556dd9ff8a6349568b09f6ebd3b4da0194c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c53bc4e4fbed790d32500a7cec52bd4cc242f9023ce6b21ce00fc90df0f654f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-04T19:18:54Z",
    "title_canon_sha256": "6bb899bfea020f5bdd53038c8c79ce5b9c6458da6a381b735840b15704c88565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00759",
    "kind": "arxiv",
    "version": 5
  }
}