Pith Number

pith:377EWA4D

pith:2010:377EWA4DOSY2IV4CL3LCTOTKZV

not attested not anchored not stored refs pending

Modular representations and the homotopy of low rank $p$-local $CW$-complexes

Jie Wu, Piotr Beben

arxiv:1002.3752 v4 · 2010-02-19 · math.AT · 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{377EWA4DOSY2IV4CL3LCTOTKZV}

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	2026-05-18T03:58:25.057160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dffe4b038374b1a457825ed629ba6acd71a6cb1a230e4c810c20e4585d274162

Aliases

arxiv: 1002.3752 · arxiv_version: 1002.3752v4 · doi: 10.48550/arxiv.1002.3752 · pith_short_12: 377EWA4DOSY2 · pith_short_16: 377EWA4DOSY2IV4C · pith_short_8: 377EWA4D

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/377EWA4DOSY2IV4CL3LCTOTKZV \
  | 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: dffe4b038374b1a457825ed629ba6acd71a6cb1a230e4c810c20e4585d274162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d24ba89faa145d68b461eda635c6f1b3d606b2ddc37a1abd43fb94b5997211",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-02-19T14:31:10Z",
    "title_canon_sha256": "49d91f093eb8d5a105bee00ce6ce24376c76fccd15a1c6b723c70e230538da6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3752",
    "kind": "arxiv",
    "version": 4
  }
}