Pith Number

pith:WVZJ4WLS

pith:2025:WVZJ4WLS6EX6OYDWJIMRG2LBD3

not attested not anchored not stored refs pending

Exceptional Symmetry as a Source of Algebraic Cycles: Non-Constructive Methods for the Hodge Conjecture for a Special Class of Calabi-Yau 5-Folds

Dongzhe Zheng

arxiv:2506.17754 v3 · 2025-06-21 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVZJ4WLS6EX6OYDWJIMRG2LBD3}

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	2026-07-05T11:52:02.860450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5729e5972f12fe760764a191369611ec33adb7d3e82e6fbae531a71a7ebeaf1

Aliases

arxiv: 2506.17754 · arxiv_version: 2506.17754v3 · doi: 10.48550/arxiv.2506.17754 · pith_short_12: WVZJ4WLS6EX6 · pith_short_16: WVZJ4WLS6EX6OYDW · pith_short_8: WVZJ4WLS

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/WVZJ4WLS6EX6OYDWJIMRG2LBD3 \
  | 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: b5729e5972f12fe760764a191369611ec33adb7d3e82e6fbae531a71a7ebeaf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4c2d4c2e429553b788c6f9f6e3300bb39bb2feaf9d20feaea55335be5fc130",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-21T16:18:48Z",
    "title_canon_sha256": "58f91ba63c5f4c4f3a4b05a6c72f64414e8aed1792dee9448690a7863dd0c3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17754",
    "kind": "arxiv",
    "version": 3
  }
}