Pith Number

pith:RB3FZF5G

pith:2011:RB3FZF5G3NCFIX5JLS76YZ5H2W

not attested not anchored not stored refs pending

The Additional Symmetries for the BTL and CTL Hierarchies

Jingsong He, Jipeng Cheng, Kelei Tian

arxiv:1105.3771 v2 · 2011-05-19 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RB3FZF5G3NCFIX5JLS76YZ5H2W}

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	2026-05-18T04:14:16.379968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88765c97a6db44545fa95cbfec67a7d585097799f2f6fd0968db7ca75b103718

Aliases

arxiv: 1105.3771 · arxiv_version: 1105.3771v2 · doi: 10.48550/arxiv.1105.3771 · pith_short_12: RB3FZF5G3NCF · pith_short_16: RB3FZF5G3NCFIX5J · pith_short_8: RB3FZF5G

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/RB3FZF5G3NCFIX5JLS76YZ5H2W \
  | 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: 88765c97a6db44545fa95cbfec67a7d585097799f2f6fd0968db7ca75b103718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f581ca139cac391147fd20e8978d9d9cc6b03bae11dfc97f18636fb303c4d9c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-05-19T00:46:43Z",
    "title_canon_sha256": "12ee5368351b4e3da4ebaa32517a6177d87fa21ac62342ba3ea067d79117fb05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3771",
    "kind": "arxiv",
    "version": 2
  }
}