Pith Number

pith:5H5WKWW4

pith:2025:5H5WKWW4JBGXPUWKZQFQTHRBI2

not attested not anchored not stored refs pending

Linear Relations of Finite Length Modules are Shift Equivalent to Maps

Bartosz Furmanek, Filip Oskar {\L}anecki, Jim Wiseman, Mateusz Przybylski

arxiv:2503.10829 v2 · 2025-03-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5H5WKWW4JBGXPUWKZQFQTHRBI2}

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	2026-05-21T01:05:04.948733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9fb655adc484d77d2cacc0b099e2146b780237505afdfb1189abee3a72512e2

Aliases

arxiv: 2503.10829 · arxiv_version: 2503.10829v2 · doi: 10.48550/arxiv.2503.10829 · pith_short_12: 5H5WKWW4JBGX · pith_short_16: 5H5WKWW4JBGXPUWK · pith_short_8: 5H5WKWW4

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/5H5WKWW4JBGXPUWKZQFQTHRBI2 \
  | 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: e9fb655adc484d77d2cacc0b099e2146b780237505afdfb1189abee3a72512e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab65527bed158fe173b37aefe0844ae9b161b08cd667323f2d476f0052ccef7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-03-13T19:17:19Z",
    "title_canon_sha256": "7ccad4525802c6bbf5a79932d41adec801be9a76dea31df14db151e727a13505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.10829",
    "kind": "arxiv",
    "version": 2
  }
}