Pith Number

pith:3UXHJUD3

pith:2016:3UXHJUD37H3WXJWAHMV2XMHG6X

not attested not anchored not stored refs pending

Birational models of moduli spaces of coherent sheaves on the projective plane

Chunyi Li, Xiaolei Zhao

arxiv:1603.05035 v1 · 2016-03-16 · 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{3UXHJUD37H3WXJWAHMV2XMHG6X}

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	2026-05-17T23:51:34.953348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2e74d07bf9f76ba6c03b2babb0e6f5d5249d73bb248d2e341026b855069d44

Aliases

arxiv: 1603.05035 · arxiv_version: 1603.05035v1 · doi: 10.48550/arxiv.1603.05035 · pith_short_12: 3UXHJUD37H3W · pith_short_16: 3UXHJUD37H3WXJWA · pith_short_8: 3UXHJUD3

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/3UXHJUD37H3WXJWAHMV2XMHG6X \
  | 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: dd2e74d07bf9f76ba6c03b2babb0e6f5d5249d73bb248d2e341026b855069d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e1d3620b3407b52657e14260d52848b835c3bef7c35582d81c055e03a999e30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-16T11:14:08Z",
    "title_canon_sha256": "158ca7d64737166d19f2edf8620a6c041526ea24d4f569d29e1dee4cb3411b3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05035",
    "kind": "arxiv",
    "version": 1
  }
}