Pith Number

pith:2TKKWKKB

pith:2015:2TKKWKKBZVCFTEVDM2BNXLL2VP

not attested not anchored not stored refs pending

Gorenstein $\mathbb{Q}$-homology projective planes

Dongseon Hwang, Hisanori Ohashi, JongHae Keum

arxiv:1502.02104 v1 · 2015-02-07 · 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{2TKKWKKBZVCFTEVDM2BNXLL2VP}

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	2026-05-18T00:39:40.863572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d4ab2941cd445992a36682dbad7aabc4ebba26766ee121fa40fc1ac9b00c2e

Aliases

arxiv: 1502.02104 · arxiv_version: 1502.02104v1 · doi: 10.48550/arxiv.1502.02104 · pith_short_12: 2TKKWKKBZVCF · pith_short_16: 2TKKWKKBZVCFTEVD · pith_short_8: 2TKKWKKB

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/2TKKWKKBZVCFTEVDM2BNXLL2VP \
  | 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: d4d4ab2941cd445992a36682dbad7aabc4ebba26766ee121fa40fc1ac9b00c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5427968f70be93e1036e0028b0866c96212fddc0e28722f329fbe7dddeca184",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-07T07:04:59Z",
    "title_canon_sha256": "2ff2551af01104361dfbf287acabc6f125a35cc6e4c9b9fbb980e6b35f5f1acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02104",
    "kind": "arxiv",
    "version": 1
  }
}