Pith Number

pith:56DV5NFO

pith:2011:56DV5NFO7NY3WQTXKBIF2Y5A5W

not attested not anchored not stored refs pending

Surfaces with p_g=q=2, K^2=6 and Albanese map of degree 2

Francesco Polizzi, Matteo Penegini

arxiv:1105.4983 v2 · 2011-05-25 · 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{56DV5NFO7NY3WQTXKBIF2Y5A5W}

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	2026-05-18T03:38:02.976483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef875eb4aefb71bb427750505d63a0edad333b1cba3bd724e882afd308adeb57

Aliases

arxiv: 1105.4983 · arxiv_version: 1105.4983v2 · doi: 10.48550/arxiv.1105.4983 · pith_short_12: 56DV5NFO7NY3 · pith_short_16: 56DV5NFO7NY3WQTX · pith_short_8: 56DV5NFO

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/56DV5NFO7NY3WQTXKBIF2Y5A5W \
  | 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: ef875eb4aefb71bb427750505d63a0edad333b1cba3bd724e882afd308adeb57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6fa307ae4294f2dab8afad7630d2ce928f0251894e0cb2bf3616f7045382d2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-25T10:02:29Z",
    "title_canon_sha256": "76271c8b10ff0d86455fb8ea2f3a6d40b87018632197758f882b1e9df595383e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4983",
    "kind": "arxiv",
    "version": 2
  }
}