Pith Number

pith:HHK4VT3D

pith:2013:HHK4VT3DIIPS44FORM4HCU3VEA

not attested not anchored not stored refs pending

Split quasicocycles

Pascal Rolli

arxiv:1305.0095 v2 · 2013-05-01 · 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{HHK4VT3DIIPS44FORM4HCU3VEA}

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	2026-05-18T03:17:24.316975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d5cacf63421f2e70ae8b38715375202f8685c51127f974cad13e3439440f26

Aliases

arxiv: 1305.0095 · arxiv_version: 1305.0095v2 · doi: 10.48550/arxiv.1305.0095 · pith_short_12: HHK4VT3DIIPS · pith_short_16: HHK4VT3DIIPS44FO · pith_short_8: HHK4VT3D

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/HHK4VT3DIIPS44FORM4HCU3VEA \
  | 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: 39d5cacf63421f2e70ae8b38715375202f8685c51127f974cad13e3439440f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e92a10a01235380ec999502c006e5c5d85ca1dad70bc0f981e9900d480b669d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-01T06:00:18Z",
    "title_canon_sha256": "0969fb65a5e5cb2dd968220aef08675cb2bee6d645dd26b929a89934c87a8f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0095",
    "kind": "arxiv",
    "version": 2
  }
}