Pith Number

pith:XTMLYTAX

pith:2016:XTMLYTAXEEUMAHMQK4IYA3AVLS

not attested not anchored not stored refs pending

The action of matrix groups on aspherical manifolds

Shengkui Ye

arxiv:1609.07699 v2 · 2016-09-25 · math.AT · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTMLYTAXEEUMAHMQK4IYA3AVLS}

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	2026-05-18T00:07:01.278390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd8bc4c172128c01d905711806c155cb0c5d5d19bbf9e42b85cf67bb9fccb90

Aliases

arxiv: 1609.07699 · arxiv_version: 1609.07699v2 · doi: 10.48550/arxiv.1609.07699 · pith_short_12: XTMLYTAXEEUM · pith_short_16: XTMLYTAXEEUMAHMQ · pith_short_8: XTMLYTAX

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/XTMLYTAXEEUMAHMQK4IYA3AVLS \
  | 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: bcd8bc4c172128c01d905711806c155cb0c5d5d19bbf9e42b85cf67bb9fccb90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a92a6989fb551b08e4c916b1c9cce750fed25c566f4e7623feca09856ff17728",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-09-25T04:17:44Z",
    "title_canon_sha256": "6b385381440e876a3273b58e31b991abc04bb13d17e4473ae3a300a150710184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07699",
    "kind": "arxiv",
    "version": 2
  }
}