Pith Number

pith:6NAYMEJS

pith:2015:6NAYMEJSJHYVDQJPBS7FZVZ36L

not attested not anchored not stored refs pending

Equivariant pointwise clutching maps

Min Kyu Kim

arxiv:1504.00159 v1 · 2015-04-01 · math.GR · 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{6NAYMEJSJHYVDQJPBS7FZVZ36L}

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	2026-05-18T02:19:44.410236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f34186113249f151c12f0cbe5cd73bf2d5a69a290ab6e22ce94bd81bee5aa06c

Aliases

arxiv: 1504.00159 · arxiv_version: 1504.00159v1 · doi: 10.48550/arxiv.1504.00159 · pith_short_12: 6NAYMEJSJHYV · pith_short_16: 6NAYMEJSJHYVDQJP · pith_short_8: 6NAYMEJS

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/6NAYMEJSJHYVDQJPBS7FZVZ36L \
  | 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: f34186113249f151c12f0cbe5cd73bf2d5a69a290ab6e22ce94bd81bee5aa06c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b631121c0a0fd09bce66b5819b1682a239acbe49c18f99ce2976a9626f4692eb",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-01T09:30:47Z",
    "title_canon_sha256": "5f3e512e36f32792e2928129b10b6c0fbafad761c70012ee87f0aeb5a86e2bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00159",
    "kind": "arxiv",
    "version": 1
  }
}