Pith Number

pith:UKD62DG2

pith:2018:UKD62DG2SGTUE3LSZO6KVH2KSO

not attested not anchored not stored refs pending

Exponents of $[\Omega(\mathbb S^{r+1}), \Omega (Y)]$

Daciberg Lima Gon\c{c}alves, Marek Golasi\'nski, Peter Wong

arxiv:1809.09768 v1 · 2018-09-26 · 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{UKD62DG2SGTUE3LSZO6KVH2KSO}

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	2026-05-18T00:04:43.696251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a287ed0cda91a7426d72cbbcaa9f4a939be247f24bcf3fd10b25c3f632b49803

Aliases

arxiv: 1809.09768 · arxiv_version: 1809.09768v1 · doi: 10.48550/arxiv.1809.09768 · pith_short_12: UKD62DG2SGTU · pith_short_16: UKD62DG2SGTUE3LS · pith_short_8: UKD62DG2

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/UKD62DG2SGTUE3LSZO6KVH2KSO \
  | 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: a287ed0cda91a7426d72cbbcaa9f4a939be247f24bcf3fd10b25c3f632b49803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae7658798ad96b030cb2015a3ba640e3571605933bf28cd71e1cf1d2ac86fcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-09-26T00:38:04Z",
    "title_canon_sha256": "9d5f53ae47cf20f033dc1740863c052a7124c8508a0c4948ffd446b493a1d724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09768",
    "kind": "arxiv",
    "version": 1
  }
}