Pith Number

pith:IEXLN46K

pith:2018:IEXLN46KSEZR3K3CFDNZB4DAP6

not attested not anchored not stored refs pending

Quandles of cyclic type with several fixed points

Ant\'onio Lages, Pedro Lopes

arxiv:1803.10487 v2 · 2018-03-28 · 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{IEXLN46KSEZR3K3CFDNZB4DAP6}

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	2026-05-18T00:06:11.737183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412eb6f3ca91331dab6228db90f0607fbbdca58c6bb40a5ff90629ee39fdc1e8

Aliases

arxiv: 1803.10487 · arxiv_version: 1803.10487v2 · doi: 10.48550/arxiv.1803.10487 · pith_short_12: IEXLN46KSEZR · pith_short_16: IEXLN46KSEZR3K3C · pith_short_8: IEXLN46K

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/IEXLN46KSEZR3K3CFDNZB4DAP6 \
  | 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: 412eb6f3ca91331dab6228db90f0607fbbdca58c6bb40a5ff90629ee39fdc1e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0321f6e521237d177cb42d97385c9ba057e7be07b82e2b321f7e41909dbf412e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-28T09:37:24Z",
    "title_canon_sha256": "1b323d9930a1cecbe99c88cdbea2d37e16c4a713963fa38a4734894dff958977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10487",
    "kind": "arxiv",
    "version": 2
  }
}