Pith Number

pith:VINH2ZGQ

pith:2009:VINH2ZGQJF34YCW7RX6SAHEWQK

not attested not anchored not stored refs pending

Modified Hanoi Towers Groups and Limit Spaces

Benjamin Steinhurst, Grace Stadnyk, Shotaro Makisumi

arxiv:0909.3520 v1 · 2009-09-18 · math.GR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VINH2ZGQJF34YCW7RX6SAHEWQK}

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	2026-05-18T03:53:42.689941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1a7d64d04977cc0adf8dfd201c9682b46cce68808aee24506600d2d6b23b97

Aliases

arxiv: 0909.3520 · arxiv_version: 0909.3520v1 · doi: 10.48550/arxiv.0909.3520 · pith_short_12: VINH2ZGQJF34 · pith_short_16: VINH2ZGQJF34YCW7 · pith_short_8: VINH2ZGQ

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/VINH2ZGQJF34YCW7RX6SAHEWQK \
  | 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: aa1a7d64d04977cc0adf8dfd201c9682b46cce68808aee24506600d2d6b23b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9492fd351fe0d66b60f811c9d051bb7133f040bff0cfb810e22a1d494674473",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-09-18T20:02:39Z",
    "title_canon_sha256": "7aad93ce944ac6065bcca085f59ff5ad1e51326b6574a754479678f6ba45585c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3520",
    "kind": "arxiv",
    "version": 1
  }
}