Pith Number

pith:MU2WKTNX

pith:2016:MU2WKTNXB5BMTMWU5LBVRGY4L4

not attested not anchored not stored refs pending

Locally 2-fold symmetric manifolds are locally symmetric

ShaoQiang Deng, Vladimir S. Matveev

arxiv:1607.05644 v1 · 2016-07-19 · 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{MU2WKTNXB5BMTMWU5LBVRGY4L4}

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	2026-05-18T00:24:35.563035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6535654db70f42c9b2d4eac3589b1c5f231ae287302e5bc2aa51e613d5f314ea

Aliases

arxiv: 1607.05644 · arxiv_version: 1607.05644v1 · doi: 10.48550/arxiv.1607.05644 · pith_short_12: MU2WKTNXB5BM · pith_short_16: MU2WKTNXB5BMTMWU · pith_short_8: MU2WKTNX

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/MU2WKTNXB5BMTMWU5LBVRGY4L4 \
  | 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: 6535654db70f42c9b2d4eac3589b1c5f231ae287302e5bc2aa51e613d5f314ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cdd65fe14149bd359c22512717e4cbef11794e9aeedf4c3aab168bd8d7a16e7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-19T15:58:09Z",
    "title_canon_sha256": "b4b084fa0d5ff2fc0473dacbf3e203757e3db0dee007d2fee530e1a3d4c355e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05644",
    "kind": "arxiv",
    "version": 1
  }
}