Pith Number

pith:BYS7MOD5

pith:2019:BYS7MOD5ENDWMMBVJTV4PMOI4E

not attested not anchored not stored refs pending

Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity

Andr\'es Angel, Hellen Colman, John Oprea, Mark Grant

arxiv:1908.04949 v4 · 2019-08-14 · math.AT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYS7MOD5ENDWMMBVJTV4PMOI4E}

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	2026-07-04T23:58:29.032464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e25f6387d23476630354cebc7b1c8e1359a0746e2e5c790b942bd8da295772b

Aliases

arxiv: 1908.04949 · arxiv_version: 1908.04949v4 · doi: 10.48550/arxiv.1908.04949 · pith_short_12: BYS7MOD5ENDW · pith_short_16: BYS7MOD5ENDWMMBV · pith_short_8: BYS7MOD5

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/BYS7MOD5ENDWMMBVJTV4PMOI4E \
  | 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: 0e25f6387d23476630354cebc7b1c8e1359a0746e2e5c790b942bd8da295772b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78b221207646c3689555d30799fe25b8d9e87fab599a7c097fab6ff92737686f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-14T04:37:44Z",
    "title_canon_sha256": "093200837b64f68bc6038cd1c2c18d88bc7644a075beb337ff3db92e902ab8d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04949",
    "kind": "arxiv",
    "version": 4
  }
}