Pith Number

pith:2T5UNBQB

pith:2011:2T5UNBQBVGYJPNO7DU55TCBAEF

not attested not anchored not stored refs pending

On surfaces with p_g=2, q=1 and K^2=5

Francesco Polizzi, Paolo A. Oliverio, Tommaso Gentile

arxiv:1106.5028 v1 · 2011-06-24 · 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{2T5UNBQBVGYJPNO7DU55TCBAEF}

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	2026-05-18T03:59:49.513794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4fb468601a9b097b5df1d3bd98820214e25f5b25cef91023b698ef130656996

Aliases

arxiv: 1106.5028 · arxiv_version: 1106.5028v1 · doi: 10.48550/arxiv.1106.5028 · pith_short_12: 2T5UNBQBVGYJ · pith_short_16: 2T5UNBQBVGYJPNO7 · pith_short_8: 2T5UNBQB

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/2T5UNBQBVGYJPNO7DU55TCBAEF \
  | 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: d4fb468601a9b097b5df1d3bd98820214e25f5b25cef91023b698ef130656996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b693d012ae745fe1571473893b068dae5ae06d1c779f0e4cfc988a0ea2dbdcd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-24T18:04:17Z",
    "title_canon_sha256": "0a5c866b534f91ae093700ba1f90fcd5e28a5a368528980e79b232326a8a8efe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5028",
    "kind": "arxiv",
    "version": 1
  }
}