Pith Number

pith:4NJ445QO

pith:2015:4NJ445QOL7Q6YXXQAMLF75GTVZ

not attested not anchored not stored refs pending

Computing Whitehead groups using genetic bases

Nadia Romero

arxiv:1506.01120 v2 · 2015-06-03 · math.GR · math.AT · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NJ445QOL7Q6YXXQAMLF75GTVZ}

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	2026-05-18T01:27:07.653807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e353ce760e5fe1ec5ef003165ff4d3ae44d8429727caaecc5df45ad767e3340e

Aliases

arxiv: 1506.01120 · arxiv_version: 1506.01120v2 · doi: 10.48550/arxiv.1506.01120 · pith_short_12: 4NJ445QOL7Q6 · pith_short_16: 4NJ445QOL7Q6YXXQ · pith_short_8: 4NJ445QO

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/4NJ445QOL7Q6YXXQAMLF75GTVZ \
  | 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: e353ce760e5fe1ec5ef003165ff4d3ae44d8429727caaecc5df45ad767e3340e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d8580e5afbb6f354f61aae9436d81adf88734d50b95e6771274395c1eb2cee",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-03T04:38:42Z",
    "title_canon_sha256": "98fafafa3f24686577128ee4d02e55135d58c1b486f0156c7d4c1702272aa59e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01120",
    "kind": "arxiv",
    "version": 2
  }
}