Pith Number

pith:YAJB3K3L

pith:2019:YAJB3K3LSGODWXNOM4B4E5KOKE

not attested not anchored not stored refs pending

Global Rigidity of Some Abelian-by-Cyclic group actions on $\T^2$

Jinxin Xue, Sebastian Hurtado

arxiv:1909.10112 v2 · 2019-09-23 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAJB3K3LSGODWXNOM4B4E5KOKE}

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	2026-07-05T03:38:11.266923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0121dab6b919c3b5dae6703c2754e5115e39139243b24fdf674c67095615856

Aliases

arxiv: 1909.10112 · arxiv_version: 1909.10112v2 · doi: 10.48550/arxiv.1909.10112 · pith_short_12: YAJB3K3LSGOD · pith_short_16: YAJB3K3LSGODWXNO · pith_short_8: YAJB3K3L

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/YAJB3K3LSGODWXNOM4B4E5KOKE \
  | 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: c0121dab6b919c3b5dae6703c2754e5115e39139243b24fdf674c67095615856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53929b0d51ea011c770493bd77919fec45ae12aa0aa8b13e00b30bb757136ca7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-09-23T01:14:16Z",
    "title_canon_sha256": "6151871ffcf082d45fa8c0efd42ecaee147932e288555153ae70365c84756c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10112",
    "kind": "arxiv",
    "version": 2
  }
}