Pith Number

pith:GMA56QQ2

pith:2019:GMA56QQ23NN5OYH2BH25BCPT75

not attested not anchored not stored refs pending

Free ${\Bbb Z}^p$-actions on the three dimensional torus

Eduardo Fierro Morales, Richard Urz\'ua-Luz

arxiv:1906.11448 v1 · 2019-06-27 · 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{GMA56QQ23NN5OYH2BH25BCPT75}

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	2026-05-17T23:42:07.023868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3301df421adb5bd760fa09f5d089f3ff6a11a5611f69cd8db42bb41f171ac757

Aliases

arxiv: 1906.11448 · arxiv_version: 1906.11448v1 · doi: 10.48550/arxiv.1906.11448 · pith_short_12: GMA56QQ23NN5 · pith_short_16: GMA56QQ23NN5OYH2 · pith_short_8: GMA56QQ2

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/GMA56QQ23NN5OYH2BH25BCPT75 \
  | 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: 3301df421adb5bd760fa09f5d089f3ff6a11a5611f69cd8db42bb41f171ac757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a88ed5954aa18d4b39e490aeca20032b0346186c5131314561f63f81c2d06e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-27T06:08:56Z",
    "title_canon_sha256": "d75a6aac1f7e6ea5ac0e6e14303fe3d3822fbbe48587fde8aa3620aab6c1b505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11448",
    "kind": "arxiv",
    "version": 1
  }
}