Pith Number

pith:NYHW4JST

pith:2012:NYHW4JSTTUHTQKQUXUIYFJGLLT

not attested not anchored not stored refs pending

Extending finite group actions on surfaces over $S^3$

Bruno Zimmermann, Chao Wang, Shicheng Wang, Yimu Zhang

arxiv:1209.1158 v1 · 2012-09-06 · math.GT · 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{NYHW4JSTTUHTQKQUXUIYFJGLLT}

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	2026-05-18T03:46:06.375888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e0f6e26539d0f382a14bd1182a4cb5cf5a1aefbfe22a1c7947c956843e0befa

Aliases

arxiv: 1209.1158 · arxiv_version: 1209.1158v1 · doi: 10.48550/arxiv.1209.1158 · pith_short_12: NYHW4JSTTUHT · pith_short_16: NYHW4JSTTUHTQKQU · pith_short_8: NYHW4JST

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/NYHW4JSTTUHTQKQUXUIYFJGLLT \
  | 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: 6e0f6e26539d0f382a14bd1182a4cb5cf5a1aefbfe22a1c7947c956843e0befa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce5e9ca054c27e9415d278f52ea9fd0196fb73fdc238e72ad0c610eba18eb6e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-06T02:21:37Z",
    "title_canon_sha256": "80df1af3c47cde59205e3d51a71670fa8ff61e2d27cb983c3848708b08b4a163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1158",
    "kind": "arxiv",
    "version": 1
  }
}