Pith Number

pith:ZQZ5B6QD

pith:2012:ZQZ5B6QDUDJKMCWWBQTCV7AZNX

not attested not anchored not stored refs pending

Banach representations and affine compactifications of dynamical systems

Eli Glasner, Michael Megrelishvili

arxiv:1204.0432 v5 · 2012-04-02 · math.DS · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQZ5B6QDUDJKMCWWBQTCV7AZNX}

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	2026-05-18T03:08:14.674438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc33d0fa03a0d2a60ad60c262afc196de060463690ae1b337ca679996b72f4ab

Aliases

arxiv: 1204.0432 · arxiv_version: 1204.0432v5 · doi: 10.48550/arxiv.1204.0432 · pith_short_12: ZQZ5B6QDUDJK · pith_short_16: ZQZ5B6QDUDJKMCWW · pith_short_8: ZQZ5B6QD

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/ZQZ5B6QDUDJKMCWWBQTCV7AZNX \
  | 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: cc33d0fa03a0d2a60ad60c262afc196de060463690ae1b337ca679996b72f4ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab3e55666230239e9263d5a0a5dd6f4f235e8802b2eb4b4f58402decd22bfca8",
    "cross_cats_sorted": [
      "math.FA",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-02T15:18:07Z",
    "title_canon_sha256": "328047ed2f22e693605241adc90f8616f25aa171124668eafb77d4547b567fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0432",
    "kind": "arxiv",
    "version": 5
  }
}