Pith Number

pith:CX2MVL5U

pith:2021:CX2MVL5URFEKHSXOZP3WMW2C4A

not attested not anchored not stored refs pending

$\ell^p$-Distances on Multiparameter Persistence Modules

H{\aa}vard Bakke Bjerkevik, Michael Lesnick

arxiv:2106.13589 v2 · 2021-06-25 · 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{CX2MVL5URFEKHSXOZP3WMW2C4A}

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

1 paper in Pith

Interleaving Distance as a Galois-Edit Distance

Receipt and verification

First computed	2026-07-05T03:30:52.584016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15f4caafb48948a3caeecbf7665b42e035b74dfcb6dd5d17fc5572f5e4fab603

Aliases

arxiv: 2106.13589 · arxiv_version: 2106.13589v2 · doi: 10.48550/arxiv.2106.13589 · pith_short_12: CX2MVL5URFEK · pith_short_16: CX2MVL5URFEKHSXO · pith_short_8: CX2MVL5U

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/CX2MVL5URFEKHSXOZP3WMW2C4A \
  | 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: 15f4caafb48948a3caeecbf7665b42e035b74dfcb6dd5d17fc5572f5e4fab603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d287453f491534981f09253b6d15e2676d0fb04983293a090ecef4fa90d3c733",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-06-25T12:40:19Z",
    "title_canon_sha256": "cf9743c068ddcd6ba1cc37c8e5fd52bbb1db575c0267e974de7e2f5c5329ca85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13589",
    "kind": "arxiv",
    "version": 2
  }
}