Pith Number

pith:4WVUGLPD

pith:2018:4WVUGLPDXAZYDOZ5OHDYRVK5TX

not attested not anchored not stored refs pending

Eilenberg--Mac Lane Spaces for Topological Groups

Ged Corob Cook

arxiv:1803.02333 v1 · 2018-03-06 · 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{4WVUGLPDXAZYDOZ5OHDYRVK5TX}

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	2026-05-18T00:21:51.797769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ab432de3b83381bb3d71c788d55d9ddbd19f4fadc87b01540fe7fc90fdf5b7

Aliases

arxiv: 1803.02333 · arxiv_version: 1803.02333v1 · doi: 10.48550/arxiv.1803.02333 · pith_short_12: 4WVUGLPDXAZY · pith_short_16: 4WVUGLPDXAZYDOZ5 · pith_short_8: 4WVUGLPD

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/4WVUGLPDXAZYDOZ5OHDYRVK5TX \
  | 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: e5ab432de3b83381bb3d71c788d55d9ddbd19f4fadc87b01540fe7fc90fdf5b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1541c73332f7c24cf2a665eb69465c362fc99907ac975073546c3cbd32cf4abc",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-06T18:46:13Z",
    "title_canon_sha256": "40029bafc4ad18983356dd2d05366b18b4c1b6c118cd3d7ce9673a2bd1051646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02333",
    "kind": "arxiv",
    "version": 1
  }
}