Pith Number

pith:U22LOHLG

pith:2012:U22LOHLGZXDOQFWPUG5R6XRTXM

not attested not anchored not stored refs pending

On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors

Alina Marian, Dragos Oprea

arxiv:1212.6533 v1 · 2012-12-28 · 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{U22LOHLGZXDOQFWPUG5R6XRTXM}

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	2026-05-18T03:37:31.680509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b4b71d66cdc6e816cfa1bb1f5e33bb327202c628e6de856a92f31c5a5a4239

Aliases

arxiv: 1212.6533 · arxiv_version: 1212.6533v1 · doi: 10.48550/arxiv.1212.6533 · pith_short_12: U22LOHLGZXDO · pith_short_16: U22LOHLGZXDOQFWP · pith_short_8: U22LOHLG

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/U22LOHLGZXDOQFWPUG5R6XRTXM \
  | 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: a6b4b71d66cdc6e816cfa1bb1f5e33bb327202c628e6de856a92f31c5a5a4239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e449eb1e4c1a8d517ec25cb27978ca087d5369598bce3bd5f0b009856efc693c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-28T16:41:02Z",
    "title_canon_sha256": "1cbcbd3ba6bbbf28eec6f3eda270c8a3c1ce4ba6f8c2b79a6472f0b8cc46592f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6533",
    "kind": "arxiv",
    "version": 1
  }
}