Pith Number

pith:APNSTE4N

pith:2014:APNSTE4NTSJ5MUW2GZTZBZNOWW

not attested not anchored not stored refs pending

Right-angled Artin subgroups of the $C^{\infty}$ diffeomorphism group of the real line

Hyungryul Baik, Sang-hyun Kim, Thomas Koberda

arxiv:1404.5559 v4 · 2014-04-22 · 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{APNSTE4NTSJ5MUW2GZTZBZNOWW}

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	2026-05-18T00:21:29.516731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03db29938d9c93d652da366790e5aeb5bde859f59c83d4dfa35e7e8c07be5dfe

Aliases

arxiv: 1404.5559 · arxiv_version: 1404.5559v4 · doi: 10.48550/arxiv.1404.5559 · pith_short_12: APNSTE4NTSJ5 · pith_short_16: APNSTE4NTSJ5MUW2 · pith_short_8: APNSTE4N

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/APNSTE4NTSJ5MUW2GZTZBZNOWW \
  | 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: 03db29938d9c93d652da366790e5aeb5bde859f59c83d4dfa35e7e8c07be5dfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd58aa314e6fc430a6cbe54bc62fe999c4e9f851d9f6bba7fedcaf4c518ecd4f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-04-22T17:05:52Z",
    "title_canon_sha256": "6dca935f2b3a239784a98a7727a97392f6ef6066356b91e2b183fabb1ec37f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5559",
    "kind": "arxiv",
    "version": 4
  }
}