Pith Number

pith:T75RL52T

pith:2025:T75RL52TZ4FGSREJSM3AHAH5BI

not attested not anchored not stored refs pending

The harmonic $2$-forms on $K3$ surfaces converging to a flat $4$-dimensional orbifold

Kota Hattori

arxiv:2512.14125 v2 · 2025-12-16 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T75RL52TZ4FGSREJSM3AHAH5BI}

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	2026-05-20T01:05:04.213926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ffb15f753cf0a69448993360380fd0a3c51674897e5bc90a8b0fb9370d5ab77

Aliases

arxiv: 2512.14125 · arxiv_version: 2512.14125v2 · doi: 10.48550/arxiv.2512.14125 · pith_short_12: T75RL52TZ4FG · pith_short_16: T75RL52TZ4FGSREJ · pith_short_8: T75RL52T

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/T75RL52TZ4FGSREJSM3AHAH5BI \
  | 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: 9ffb15f753cf0a69448993360380fd0a3c51674897e5bc90a8b0fb9370d5ab77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c033e347ee6a48cdf237b204adf54e7c7cf47d4509a9482c54524d6c08d26b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-12-16T06:11:47Z",
    "title_canon_sha256": "96b57faca6e63694584bc31f6e4436ae3ed0b82e7813fdeb6763a70767784581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.14125",
    "kind": "arxiv",
    "version": 2
  }
}