Pith Number

pith:D6ERQQRO

pith:2012:D6ERQQROT4N33ZEB7ZJDYAYZFM

not attested not anchored not stored refs pending

Combination of fully quasiconvex subgroups and its applications

Wenyuan Yang

arxiv:1205.2994 v3 · 2012-05-14 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6ERQQROT4N33ZEB7ZJDYAYZFM}

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	2026-05-18T03:37:41.338978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f8918422e9f1bbde481fe523c03192b0398967eb8187d719231e4cd435d7d08

Aliases

arxiv: 1205.2994 · arxiv_version: 1205.2994v3 · doi: 10.48550/arxiv.1205.2994 · pith_short_12: D6ERQQROT4N3 · pith_short_16: D6ERQQROT4N33ZEB · pith_short_8: D6ERQQRO

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/D6ERQQROT4N33ZEB7ZJDYAYZFM \
  | 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: 1f8918422e9f1bbde481fe523c03192b0398967eb8187d719231e4cd435d7d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60bf1c51321b17e28a2adb2799b25529c2fed30c8c939bd9ba0838c00191e7b7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-14T12:05:33Z",
    "title_canon_sha256": "9960d1be10f26de6783cce948d34cfa6abf38015af4287f9eed638592bfa7bd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2994",
    "kind": "arxiv",
    "version": 3
  }
}