Pith Number

pith:NUVUKMWK

pith:2012:NUVUKMWKWQS3VMBPA3DXVVAYU4

not attested not anchored not stored refs pending

On the strange duality conjecture for abelian surfaces

Alina Marian, Dragos Oprea

arxiv:1207.5307 v1 · 2012-07-23 · 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{NUVUKMWKWQS3VMBPA3DXVVAYU4}

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	2026-05-18T03:50:23.900774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d2b4532cab425bab02f06c77ad418a70a1ae59032a7b192d0a58005922a2ec1

Aliases

arxiv: 1207.5307 · arxiv_version: 1207.5307v1 · doi: 10.48550/arxiv.1207.5307 · pith_short_12: NUVUKMWKWQS3 · pith_short_16: NUVUKMWKWQS3VMBP · pith_short_8: NUVUKMWK

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/NUVUKMWKWQS3VMBPA3DXVVAYU4 \
  | 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: 6d2b4532cab425bab02f06c77ad418a70a1ae59032a7b192d0a58005922a2ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4f7432a3ec28ae9a147be22180e60487bab559729cdfd3ab3ac15c6fa4922f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-23T06:40:04Z",
    "title_canon_sha256": "2a80853e8ad95b500d5e0c0c2f0c3e0cd2c62fa26d040f7c0eee22176d5f0108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5307",
    "kind": "arxiv",
    "version": 1
  }
}