Pith Number

pith:3AYD37XG

pith:2016:3AYD37XGXUWTGVNCD5N2USCLCF

not attested not anchored not stored refs pending

On irrationality of surfaces in $\mathbb{P}^3$

Francesco Bastianelli

arxiv:1603.05543 v2 · 2016-03-17 · 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{3AYD37XGXUWTGVNCD5N2USCLCF}

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	2026-05-18T00:40:28.877493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8303dfee6bd2d3355a21f5baa484b1147464196e1e538cfbf7233077e8afe03

Aliases

arxiv: 1603.05543 · arxiv_version: 1603.05543v2 · doi: 10.48550/arxiv.1603.05543 · pith_short_12: 3AYD37XGXUWT · pith_short_16: 3AYD37XGXUWTGVNC · pith_short_8: 3AYD37XG

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/3AYD37XGXUWTGVNCD5N2USCLCF \
  | 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: d8303dfee6bd2d3355a21f5baa484b1147464196e1e538cfbf7233077e8afe03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307ee20ba0dee3feb7afb0d736b74f460294a78ebf514d4cb91eb83745bbd8e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-17T15:42:49Z",
    "title_canon_sha256": "bb74d8a523302c4cedb97973f47bb454f57ebc91f8d2cf16e248d6f4af9008b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05543",
    "kind": "arxiv",
    "version": 2
  }
}