Pith Number

pith:RBKQHLB3

pith:2026:RBKQHLB3GPDSIPD7ARY2FIHLWF

not attested not anchored not stored refs pending

Isometric free finite group actions on non-positively curved 3-manifolds

Zhengyu Zou

arxiv:2606.22088 v1 · 2026-06-20 · math.GT · 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{RBKQHLB3GPDSIPD7ARY2FIHLWF}

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	2026-06-23T02:13:27.865507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

885503ac3b33c7243c7f0471a2a0ebb15229077682f3de76f8d7d339c0e75d44

Aliases

arxiv: 2606.22088 · arxiv_version: 2606.22088v1 · doi: 10.48550/arxiv.2606.22088 · pith_short_12: RBKQHLB3GPDS · pith_short_16: RBKQHLB3GPDSIPD7 · pith_short_8: RBKQHLB3

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/RBKQHLB3GPDSIPD7ARY2FIHLWF \
  | 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: 885503ac3b33c7243c7f0471a2a0ebb15229077682f3de76f8d7d339c0e75d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7e77e9d02356945b4bba9e0440c4de14e528b2a128942d9f8b7acb94c40dd0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-20T15:12:54Z",
    "title_canon_sha256": "a10a24f8ca0044017ebf4b3631804a59ae5900a0a06d66ae889fb8fd705bb3af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22088",
    "kind": "arxiv",
    "version": 1
  }
}