Pith Number

pith:QT3M7ATA

pith:2025:QT3M7ATA7G4L553DJUBGRAWCL5

not attested not anchored not stored refs pending

Conjugator length of locally compact groups of Euclidean isometries

Petra Schwer, Yuri Santos Rego

arxiv:2507.01268 v1 · 2025-07-02 · 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{QT3M7ATA7G4L553DJUBGRAWCL5}

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	2026-07-05T11:30:27.832376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f6cf8260f9b8bef7634d026882c25f4c57180827ac45bf121601eb94d30777

Aliases

arxiv: 2507.01268 · arxiv_version: 2507.01268v1 · doi: 10.48550/arxiv.2507.01268 · pith_short_12: QT3M7ATA7G4L · pith_short_16: QT3M7ATA7G4L553D · pith_short_8: QT3M7ATA

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/QT3M7ATA7G4L553DJUBGRAWCL5 \
  | 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: 84f6cf8260f9b8bef7634d026882c25f4c57180827ac45bf121601eb94d30777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d4e42b46596e4fc0564d5f8641cbc1b2321c40bc26d243a256a8952a6cb241",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-07-02T01:01:23Z",
    "title_canon_sha256": "f2308a5b5139c11b51ba93126f6016806f08167d3c42679b32f95f5f84b2745c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01268",
    "kind": "arxiv",
    "version": 1
  }
}