Pith Number

pith:ECUCSGHY

pith:2016:ECUCSGHYXEG3PWWXGZVY3A25L7

not attested not anchored not stored refs pending

Matrix group actions on product of spheres and Zimmer's program

Shengkui Ye

arxiv:1601.02314 v1 · 2016-01-11 · math.GT · math.AT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECUCSGHYXEG3PWWXGZVY3A25L7}

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	2026-05-18T01:23:06.740174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a82918f8b90db7dad7366b8d835d5fced39596d807056a1fca847a9a1c8402

Aliases

arxiv: 1601.02314 · arxiv_version: 1601.02314v1 · doi: 10.48550/arxiv.1601.02314 · pith_short_12: ECUCSGHYXEG3 · pith_short_16: ECUCSGHYXEG3PWWX · pith_short_8: ECUCSGHY

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/ECUCSGHYXEG3PWWXGZVY3A25L7 \
  | 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: 20a82918f8b90db7dad7366b8d835d5fced39596d807056a1fca847a9a1c8402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b3a800ccfda1873976010c0a6c31b6f43b3396d105b1fa0265ef6e33001447",
    "cross_cats_sorted": [
      "math.AT",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-11T03:48:46Z",
    "title_canon_sha256": "9804c5faf5350fe9eed05803564f8386979297da8736cd295b9e27cf79428ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02314",
    "kind": "arxiv",
    "version": 1
  }
}