Pith Number

pith:5TEHNRTB

pith:2012:5TEHNRTBW4SY573IGHGCN4RH45

not attested not anchored not stored refs pending

Cross-wired lamplighter groups

David Fisher, Neeraj Kashyap, Yves Cornulier

arxiv:1206.0449 v1 · 2012-06-03 · 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{5TEHNRTBW4SY573IGHGCN4RH45}

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	2026-05-18T03:10:24.477007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc876c661b7258eff6831cc26f227e768fd3ab7c598f6e42877c48d260b7773

Aliases

arxiv: 1206.0449 · arxiv_version: 1206.0449v1 · doi: 10.48550/arxiv.1206.0449 · pith_short_12: 5TEHNRTBW4SY · pith_short_16: 5TEHNRTBW4SY573I · pith_short_8: 5TEHNRTB

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/5TEHNRTBW4SY573IGHGCN4RH45 \
  | 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: ecc876c661b7258eff6831cc26f227e768fd3ab7c598f6e42877c48d260b7773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da22ff35bb0c5c83fa9b972fa93e4fc26ba34b553fb3e6870646063d82e06b50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-03T14:15:53Z",
    "title_canon_sha256": "3d6208cec1ce8357b8fbc53f923c666a2e1a1a4049e52825fe1ca97f424e9654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0449",
    "kind": "arxiv",
    "version": 1
  }
}