Pith Number

pith:3AJMUE5P

pith:2018:3AJMUE5PYPNDRHG4R643L4TN5F

not attested not anchored not stored refs pending

Exotic Steiner Chains in Miquelian M\"obius Planes

Gideon Villiger, Norbert Hungerb\"uhler

arxiv:1811.06201 v1 · 2018-11-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AJMUE5PYPNDRHG4R643L4TN5F}

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	2026-05-18T00:00:38.361363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d812ca13afc3da389cdc8fb9b5f26de97de1095639ad24cd14d2c81466c2ec34

Aliases

arxiv: 1811.06201 · arxiv_version: 1811.06201v1 · doi: 10.48550/arxiv.1811.06201 · pith_short_12: 3AJMUE5PYPND · pith_short_16: 3AJMUE5PYPNDRHG4 · pith_short_8: 3AJMUE5P

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/3AJMUE5PYPNDRHG4R643L4TN5F \
  | 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: d812ca13afc3da389cdc8fb9b5f26de97de1095639ad24cd14d2c81466c2ec34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c097f53e223875da31f0f1b251aaea148907a890604bbf80d7ab5c8fcb80479",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-15T06:39:25Z",
    "title_canon_sha256": "62d51707bc4f0724399296cdf00ef6b43d2ef497a6fd4ae196b10d204d3387ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06201",
    "kind": "arxiv",
    "version": 1
  }
}