Pith Number

pith:Y4BZDGTH

pith:2018:Y4BZDGTHBYHGFDGJSXBNY465ET

not attested not anchored not stored refs pending

The Bicanonical map of fake projective planes with an automorphism

Fabrizio Catanese, JongHae Keum

arxiv:1801.05291 v2 · 2018-01-16 · 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{Y4BZDGTHBYHGFDGJSXBNY465ET}

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	2026-05-18T00:20:16.122154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c703919a670e0e628cc995c2dc73dd24e84b7d9ec08069a7f06e3443c52a002f

Aliases

arxiv: 1801.05291 · arxiv_version: 1801.05291v2 · doi: 10.48550/arxiv.1801.05291 · pith_short_12: Y4BZDGTHBYHG · pith_short_16: Y4BZDGTHBYHGFDGJ · pith_short_8: Y4BZDGTH

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/Y4BZDGTHBYHGFDGJSXBNY465ET \
  | 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: c703919a670e0e628cc995c2dc73dd24e84b7d9ec08069a7f06e3443c52a002f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7ea270e96b8a166bf241e7ce14d272db4a3428d10a9c850ac860f91b2f3c49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-16T15:20:53Z",
    "title_canon_sha256": "8f6beb4760165b2b84d547e10b4afb1b450c0f5fb2430f8b765b7c563acf44d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05291",
    "kind": "arxiv",
    "version": 2
  }
}