Pith Number

pith:OJW27AA5

pith:2021:OJW27AA5OPFP4YTT4RWLGMHJ6Z

not attested not anchored not stored refs pending

The Shift-Dimension of Multipersistence Modules

Anna-Laura Sattelberger, Ren\'e Corbet, Wojciech Chach\'olski

arxiv:2112.06509 v4 · 2021-12-13 · math.AC · 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{OJW27AA5OPFP4YTT4RWLGMHJ6Z}

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

Path representations in multiparameter persistent homology

Receipt and verification

First computed	2026-07-05T11:08:53.479740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726daf801d73cafe6273e46cb330e9f65c336a7b86ca2a3adfe6132d5bb33fdd

Aliases

arxiv: 2112.06509 · arxiv_version: 2112.06509v4 · doi: 10.48550/arxiv.2112.06509 · pith_short_12: OJW27AA5OPFP · pith_short_16: OJW27AA5OPFP4YTT · pith_short_8: OJW27AA5

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/OJW27AA5OPFP4YTT4RWLGMHJ6Z \
  | 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: 726daf801d73cafe6273e46cb330e9f65c336a7b86ca2a3adfe6132d5bb33fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c62ba5986569124daf529f2314f68015a258d6324883a9e11bf78064e8f51f87",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-12-13T09:41:32Z",
    "title_canon_sha256": "407e7e8612e997ff7cab9d738cd3ea06d198c93ecfe10e65b04c9f8a4b9ec403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06509",
    "kind": "arxiv",
    "version": 4
  }
}