Pith Number

pith:KL56F5O2

pith:2014:KL56F5O24IASZDMYQ6FQRYYH56

not attested not anchored not stored refs pending

Normal closure and injective normalizer of a group homomorphism

Emmanuel D. Farjoun, Yoav Segev

arxiv:1403.3501 v3 · 2014-03-14 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KL56F5O24IASZDMYQ6FQRYYH56}

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	2026-05-18T02:38:53.018075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52fbe2f5dae2012c8d98878b08e307ef97bb0b7f694a1641581b510dbc6f4cea

Aliases

arxiv: 1403.3501 · arxiv_version: 1403.3501v3 · doi: 10.48550/arxiv.1403.3501 · pith_short_12: KL56F5O24IAS · pith_short_16: KL56F5O24IASZDMY · pith_short_8: KL56F5O2

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/KL56F5O24IASZDMYQ6FQRYYH56 \
  | 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: 52fbe2f5dae2012c8d98878b08e307ef97bb0b7f694a1641581b510dbc6f4cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013742b4b0f522c67fd304c9aef380b43c5c179df7405a6e01d7a293c8d9e9ca",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-14T08:35:48Z",
    "title_canon_sha256": "2121fc4511354b040ccaed28c4088819f8e524aef68eb9fcd7e3cc1213b15a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3501",
    "kind": "arxiv",
    "version": 3
  }
}