Pith Number

pith:FPQV6U3P

pith:2016:FPQV6U3P4YU4IRGSDTVR6P7ZYV

not attested not anchored not stored refs pending

Effective transitive actions of the unitary group on quotients of Hopf manifolds

Alexander Isaev

arxiv:1607.07964 v2 · 2016-07-27 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPQV6U3P4YU4IRGSDTVR6P7ZYV}

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	2026-05-18T01:03:56.704773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be15f536fe629c444d21ceb1f3ff9c541c0807d1ade07b78b1a73e7ae8d4c34

Aliases

arxiv: 1607.07964 · arxiv_version: 1607.07964v2 · doi: 10.48550/arxiv.1607.07964 · pith_short_12: FPQV6U3P4YU4 · pith_short_16: FPQV6U3P4YU4IRGS · pith_short_8: FPQV6U3P

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/FPQV6U3P4YU4IRGSDTVR6P7ZYV \
  | 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: 2be15f536fe629c444d21ceb1f3ff9c541c0807d1ade07b78b1a73e7ae8d4c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c4df212a1ca0cbdbb3f043b62755551c2380c8e90a267e2ee283afe03e9c48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-27T05:19:30Z",
    "title_canon_sha256": "f0f5c559c545b47ff7440ece209ccb6638bfd632ae5644d62556b354cc54615c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07964",
    "kind": "arxiv",
    "version": 2
  }
}