Pith Number

pith:QNQYSAGH

pith:2022:QNQYSAGHTYJ7IZ5JDEYZJIODWV

not attested not anchored not stored refs pending

The Generalized Rank Invariant: M\"obius invertibility, Discriminating Power, and Connection to Other Invariants

Facundo M\'emoli, Nathaniel Clause, Woojin Kim

arxiv:2207.11591 v5 · 2022-07-23 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNQYSAGHTYJ7IZ5JDEYZJIODWV}

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.

Cited by

2 papers in Pith

Interleaving Distance as a Galois-Edit Distance

An Algebraic Introduction to Persistence

Receipt and verification

First computed	2026-07-05T08:41:35.798951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83618900c79e13f467a9193194a1c3b577e8c5c2bca24a73e46a396dbb268e3d

Aliases

arxiv: 2207.11591 · arxiv_version: 2207.11591v5 · doi: 10.48550/arxiv.2207.11591 · pith_short_12: QNQYSAGHTYJ7 · pith_short_16: QNQYSAGHTYJ7IZ5J · pith_short_8: QNQYSAGH

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/QNQYSAGHTYJ7IZ5JDEYZJIODWV \
  | 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: 83618900c79e13f467a9193194a1c3b577e8c5c2bca24a73e46a396dbb268e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd4ccc58140e777b6a254cb2c04d2de1140c2f5861dbc6317ff5221b96b413e",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-07-23T20:04:11Z",
    "title_canon_sha256": "813ec5d8ae66cb273cfffb629a8d871d47a0afeea9c9f9475bc3a94611313a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.11591",
    "kind": "arxiv",
    "version": 5
  }
}