Pith Number

pith:N4LDUPVE

pith:2011:N4LDUPVE2QHALKAHEKDYSBRQPH

not attested not anchored not stored refs pending

On Hilbert modular threefolds of discriminant 49

Lev A. Borisov, Paul E. Gunnells

arxiv:1108.1820 v1 · 2011-08-08 · math.NT · 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{N4LDUPVE2QHALKAHEKDYSBRQPH}

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	2026-05-18T04:15:59.064906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f163a3ea4d40e05a807228789063079c52c36b79793d15f645e6525d43e6392

Aliases

arxiv: 1108.1820 · arxiv_version: 1108.1820v1 · doi: 10.48550/arxiv.1108.1820 · pith_short_12: N4LDUPVE2QHA · pith_short_16: N4LDUPVE2QHALKAH · pith_short_8: N4LDUPVE

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/N4LDUPVE2QHALKAHEKDYSBRQPH \
  | 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: 6f163a3ea4d40e05a807228789063079c52c36b79793d15f645e6525d43e6392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78787e21fa83f64bd3f22e8e94d4e6355a0d4b4a5a7a65e4b9e304da0f968da5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-08T21:42:22Z",
    "title_canon_sha256": "7ed5480cdeb85e33a923ac6c97af53639ba6da56a624191893049431623caacf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1820",
    "kind": "arxiv",
    "version": 1
  }
}