Pith Number

pith:4VNJFNDM

pith:2018:4VNJFNDML2UHTHTCCZZJUSINPI

not attested not anchored not stored refs pending

Lectures on non-commutative K3 surfaces, Bridgeland stability, and moduli spaces

Emanuele Macr\`i, Paolo Stellari

arxiv:1807.06169 v2 · 2018-07-17 · 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{4VNJFNDML2UHTHTCCZZJUSINPI}

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	2026-05-17T23:52:52.670299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55a92b46c5ea8799e6216729a490d7a101c0aeb3c6ce3239538d8f7eb14a350

Aliases

arxiv: 1807.06169 · arxiv_version: 1807.06169v2 · doi: 10.48550/arxiv.1807.06169 · pith_short_12: 4VNJFNDML2UH · pith_short_16: 4VNJFNDML2UHTHTC · pith_short_8: 4VNJFNDM

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/4VNJFNDML2UHTHTCCZZJUSINPI \
  | 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: e55a92b46c5ea8799e6216729a490d7a101c0aeb3c6ce3239538d8f7eb14a350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "892dcee7701fe30740b55ed723dde369aec6314328001ca6118796436d9d2bda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-17T01:13:52Z",
    "title_canon_sha256": "5be9ee048668baab6009e4f6987b592878071059b2a8c0881a7ade851c839ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06169",
    "kind": "arxiv",
    "version": 2
  }
}