Pith Number

pith:PYDZG25X

pith:2015:PYDZG25X35N74DD4C6WOSWZN5U

not attested not anchored not stored refs pending

Universal covering calabi-yau manifolds of the Hilbert schemes of n points of Enriques surfaces

Taro Hayashi

arxiv:1502.02231 v5 · 2015-02-08 · 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{PYDZG25X35N74DD4C6WOSWZN5U}

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	2026-05-18T02:18:13.331579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e07936bb7df5bfe0c7c17ace95b2ded0d976264329d8c4209babab87ba9f139

Aliases

arxiv: 1502.02231 · arxiv_version: 1502.02231v5 · doi: 10.48550/arxiv.1502.02231 · pith_short_12: PYDZG25X35N7 · pith_short_16: PYDZG25X35N74DD4 · pith_short_8: PYDZG25X

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/PYDZG25X35N74DD4C6WOSWZN5U \
  | 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: 7e07936bb7df5bfe0c7c17ace95b2ded0d976264329d8c4209babab87ba9f139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eedbd7349d3007e22f8a3488addcf5f4017365d5df994828f21ad56623180ee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-08T09:48:53Z",
    "title_canon_sha256": "8f38b0d5f9ff302d1a68f486fddb341b01c534e889c4fa29f047229452795ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02231",
    "kind": "arxiv",
    "version": 5
  }
}