Pith Number

pith:T5KVVDFB

pith:2019:T5KVVDFB6NHZR6VC7H5SAA6ESW

not attested not anchored not stored refs pending

On the equivalence of Playfair's axiom to the parallel postulate

AJ Vargas, Edouard Seryozhenkov, Edwin O'Shea, Elizabeth T. Brown, Emily Castner, Stephen Davis

arxiv:1903.05233 v1 · 2019-03-12 · math.HO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5KVVDFB6NHZR6VC7H5SAA6ESW}

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	2026-05-17T23:51:18.836759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f555a8ca1f34f98faa2f9fb2003c49592f7d8aa2113c44dc2e947cbc5c9ba52

Aliases

arxiv: 1903.05233 · arxiv_version: 1903.05233v1 · doi: 10.48550/arxiv.1903.05233 · pith_short_12: T5KVVDFB6NHZ · pith_short_16: T5KVVDFB6NHZR6VC · pith_short_8: T5KVVDFB

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/T5KVVDFB6NHZR6VC7H5SAA6ESW \
  | 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: 9f555a8ca1f34f98faa2f9fb2003c49592f7d8aa2113c44dc2e947cbc5c9ba52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fff5d41eb405b471834e652db6707d770f6174d991c13de8482f95b586135ac",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-03-12T21:59:05Z",
    "title_canon_sha256": "77261778c976dbe04c7c3dbe7aa930094d98644e1895a4a6942ec0f70c3cd5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05233",
    "kind": "arxiv",
    "version": 1
  }
}