Pith Number

pith:OLUN6ZPH

pith:2024:OLUN6ZPHBMYWIFTDLLE7ELGHIC

not attested not anchored not stored refs pending

Achirality of Sol 3-Manifolds, Stevenhagen Conjecture and Shimizu's L-series

Shicheng Wang, Ye Tian, Zhongzi Wang

arxiv:2406.13241 v1 · 2024-06-19 · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLUN6ZPHBMYWIFTDLLE7ELGHIC}

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	2026-07-05T08:34:27.294566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e8df65e70b316416635ac9f22cc740938127b62b6f722d6ca287101505b92f

Aliases

arxiv: 2406.13241 · arxiv_version: 2406.13241v1 · doi: 10.48550/arxiv.2406.13241 · pith_short_12: OLUN6ZPHBMYW · pith_short_16: OLUN6ZPHBMYWIFTD · pith_short_8: OLUN6ZPH

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/OLUN6ZPHBMYWIFTDLLE7ELGHIC \
  | 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: 72e8df65e70b316416635ac9f22cc740938127b62b6f722d6ca287101505b92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d57638871d095da9c52d53725832d3b7a0994c1ced3e4e72dfe65d60f728c1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-06-19T06:06:38Z",
    "title_canon_sha256": "cb5ae9c898646ab5202edfa1ff01d9b73b85513bc94be1264125803f8d9c7613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.13241",
    "kind": "arxiv",
    "version": 1
  }
}