Pith Number

pith:DY6DZDFY

pith:2014:DY6DZDFY3HV4PTZNJXKZBWKSSY

not attested not anchored not stored refs pending

Constructive Geometry and the Parallel Postulate

Michael Beeson

arxiv:1407.4398 v2 · 2014-07-13 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DY6DZDFY3HV4PTZNJXKZBWKSSY}

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	2026-05-18T01:28:14.907305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3c3c8cb8d9ebc7cf2d4dd590d952962f934f9e8d8ea3c655ed41ecc6080791

Aliases

arxiv: 1407.4398 · arxiv_version: 1407.4398v2 · doi: 10.48550/arxiv.1407.4398 · pith_short_12: DY6DZDFY3HV4 · pith_short_16: DY6DZDFY3HV4PTZN · pith_short_8: DY6DZDFY

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/DY6DZDFY3HV4PTZNJXKZBWKSSY \
  | 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: 1e3c3c8cb8d9ebc7cf2d4dd590d952962f934f9e8d8ea3c655ed41ecc6080791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e3ee405f8da82ba2e58ae998d48f40fa0c8b08e5e33d9081687e88c90e487e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-07-13T23:41:14Z",
    "title_canon_sha256": "8a4e575891c3ec05daa1da5f0f6e05db77de3b60d7bdf9ecba71e449af8991e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4398",
    "kind": "arxiv",
    "version": 2
  }
}