Pith Number

pith:L5TCS4MJ

pith:2016:L5TCS4MJRGNK3WRKDP436MAHWN

not attested not anchored not stored refs pending

Coarse equivalence and topological couplings of locally compact groups

Christian Rosendal, Uri Bader

arxiv:1610.03004 v1 · 2016-10-10 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5TCS4MJRGNK3WRKDP436MAHWN}

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	2026-05-18T01:02:50.226543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f66297189899aadda2a1bf9bf3007b37a5e55fc7a52fa8cca781447bce43ad2

Aliases

arxiv: 1610.03004 · arxiv_version: 1610.03004v1 · doi: 10.48550/arxiv.1610.03004 · pith_short_12: L5TCS4MJRGNK · pith_short_16: L5TCS4MJRGNK3WRK · pith_short_8: L5TCS4MJ

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/L5TCS4MJRGNK3WRKDP436MAHWN \
  | 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: 5f66297189899aadda2a1bf9bf3007b37a5e55fc7a52fa8cca781447bce43ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d70e91ca547a9b16892f77d3c404acabef1fc28eec8ba3ba01b57ebb54ce48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-10T17:30:01Z",
    "title_canon_sha256": "83a9e35f02b760101edd344cddf6b3c8b62a38d5dffcaec7a80b0765dff06705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03004",
    "kind": "arxiv",
    "version": 1
  }
}