Pith Number

pith:PTUUIMJS

pith:2017:PTUUIMJSAWBXPOWUPEC7OWAF5G

not attested not anchored not stored refs pending

Minimality for actions of abelian semigroups on compact spaces with a free interval

Mat\'u\v{s} Dirb\'ak, Peter Mali\v{c}k\'y, Roman Hric, Vladim\'ir \v{S}pitalsk\'y, \v{L}ubom\'ir Snoha

arxiv:1703.10445 v2 · 2017-03-30 · 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{PTUUIMJSAWBXPOWUPEC7OWAF5G}

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	2026-05-18T00:23:21.415005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce9443132058377bad47905f75805e99215331adf0e63f42effa510a2539e36

Aliases

arxiv: 1703.10445 · arxiv_version: 1703.10445v2 · doi: 10.48550/arxiv.1703.10445 · pith_short_12: PTUUIMJSAWBX · pith_short_16: PTUUIMJSAWBXPOWU · pith_short_8: PTUUIMJS

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/PTUUIMJSAWBXPOWUPEC7OWAF5G \
  | 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: 7ce9443132058377bad47905f75805e99215331adf0e63f42effa510a2539e36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4514295a726dc0937d570e981541d39ba8e8cd6a6962d378069e152328de6eab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-03-30T12:48:25Z",
    "title_canon_sha256": "ec38301b45b4482bd01a59a486f4ef9c9dc18b633b0d8a626bcb5f8a58b1582c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10445",
    "kind": "arxiv",
    "version": 2
  }
}