Pith Number

pith:XZDKQ7FZ

pith:2014:XZDKQ7FZXZUXEFQWN25IKK4HHB

not attested not anchored not stored refs pending

A vanishing theorem on fake projective planes with enough automorphisms

JongHae Keum

arxiv:1407.7632 v3 · 2014-07-29 · 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{XZDKQ7FZXZUXEFQWN25IKK4HHB}

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	2026-05-18T02:27:57.049689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be46a87cb9be697216166eba852b8738466b5535e2ccc4f7bcc2a46203a74c32

Aliases

arxiv: 1407.7632 · arxiv_version: 1407.7632v3 · doi: 10.48550/arxiv.1407.7632 · pith_short_12: XZDKQ7FZXZUX · pith_short_16: XZDKQ7FZXZUXEFQW · pith_short_8: XZDKQ7FZ

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/XZDKQ7FZXZUXEFQWN25IKK4HHB \
  | 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: be46a87cb9be697216166eba852b8738466b5535e2ccc4f7bcc2a46203a74c32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d9a928bb6f57e7350d9a6011455ec26fae02e191d91e00a50178e7beb5b089",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-29T05:14:50Z",
    "title_canon_sha256": "b4fb7c9587432e8848d310de797d3b8bf4695b16ee6334acc0469ac60b7b919e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7632",
    "kind": "arxiv",
    "version": 3
  }
}