Pith Number

pith:C4PQOFFX

pith:2015:C4PQOFFXOPRZYZ72FICWFJNUPI

not attested not anchored not stored refs pending

Steiner's Porism in finite Miquelian M\"obius planes

Katharina Kusejko, Norbert Hungerb\"uhler

arxiv:1507.01377 v1 · 2015-07-06 · math.CO · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4PQOFFXOPRZYZ72FICWFJNUPI}

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	2026-05-18T01:37:17.118972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171f0714b773e39c67fa2a0562a5b47a0acb27b1a72e3dc1a3e302c834dd1748

Aliases

arxiv: 1507.01377 · arxiv_version: 1507.01377v1 · doi: 10.48550/arxiv.1507.01377 · pith_short_12: C4PQOFFXOPRZ · pith_short_16: C4PQOFFXOPRZYZ72 · pith_short_8: C4PQOFFX

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/C4PQOFFXOPRZYZ72FICWFJNUPI \
  | 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: 171f0714b773e39c67fa2a0562a5b47a0acb27b1a72e3dc1a3e302c834dd1748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb7dae148316a8f52c00b08bf5cdfcc1ae40bd261271354f5f522aa37e37d76",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-06T10:11:19Z",
    "title_canon_sha256": "f169ad9827740213879c1741b68e966e443e1cb85a083d3a698a8674bca516bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01377",
    "kind": "arxiv",
    "version": 1
  }
}