Pith Number

pith:K3IK6BAB

pith:2019:K3IK6BAB2OOGU4WL2P7KY7B7WV

not attested not anchored not stored refs pending

Abstract homomorphisms from locally compact groups to discrete groups

Linus Kramer, Olga Varghese

arxiv:1902.07962 v2 · 2019-02-21 · 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{K3IK6BAB2OOGU4WL2P7KY7B7WV}

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	2026-07-04T23:55:10.520221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d0af0401d39c6a72cbd3feac7c3fb566c02716310bcb014b4906e2d1f32c7e

Aliases

arxiv: 1902.07962 · arxiv_version: 1902.07962v2 · doi: 10.48550/arxiv.1902.07962 · pith_short_12: K3IK6BAB2OOG · pith_short_16: K3IK6BAB2OOGU4WL · pith_short_8: K3IK6BAB

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/K3IK6BAB2OOGU4WL2P7KY7B7WV \
  | 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: 56d0af0401d39c6a72cbd3feac7c3fb566c02716310bcb014b4906e2d1f32c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd1d01ae657eaefdd90e837da4aad5840604986e032e2107e6badee8fbc2d9da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-02-21T11:02:41Z",
    "title_canon_sha256": "de62e2f3744e77959532e6227f352d00cb3d3defe9b67c05d23bd7bde0ac0462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07962",
    "kind": "arxiv",
    "version": 2
  }
}