Pith Number

pith:IICO3HBN

pith:2016:IICO3HBNBNE2QL2DLOBEDQN52R

not attested not anchored not stored refs pending

Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes

Jes\'us Gonz\'alez, Lucile Vandembroucq, Mark Grant

arxiv:1607.08858 v1 · 2016-07-29 · 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{IICO3HBNBNE2QL2DLOBEDQN52R}

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	2026-05-18T01:10:15.734171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4204ed9c2d0b49a82f435b8241c1bdd46bfd0e359bded5fbfb2483ec46762b56

Aliases

arxiv: 1607.08858 · arxiv_version: 1607.08858v1 · doi: 10.48550/arxiv.1607.08858 · pith_short_12: IICO3HBNBNE2 · pith_short_16: IICO3HBNBNE2QL2D · pith_short_8: IICO3HBN

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/IICO3HBNBNE2QL2DLOBEDQN52R \
  | 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: 4204ed9c2d0b49a82f435b8241c1bdd46bfd0e359bded5fbfb2483ec46762b56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c39e2636a5daf99edf5779e363d2789e14c2e44f3d73cbe519d8a43f5e0392b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-07-29T15:56:23Z",
    "title_canon_sha256": "861d689c9c0e847c540d7d37abff55446c478d1d8f901ef3ef5e36502cd07a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08858",
    "kind": "arxiv",
    "version": 1
  }
}