Pith Number

pith:4WCFLVBU

pith:2017:4WCFLVBUHQ5LOU2FPRXEIYEFQS

not attested not anchored not stored refs pending

Mysterious Properties of the Point at Infinity

Saburou Saitoh

arxiv:1712.09467 v1 · 2017-12-17 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WCFLVBUHQ5LOU2FPRXEIYEFQS}

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	2026-05-18T00:27:08.310276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58455d4343c3ab753457c6e44608584aec9eae22d6a1b6cd016d6d24c09c909

Aliases

arxiv: 1712.09467 · arxiv_version: 1712.09467v1 · doi: 10.48550/arxiv.1712.09467 · pith_short_12: 4WCFLVBUHQ5L · pith_short_16: 4WCFLVBUHQ5LOU2F · pith_short_8: 4WCFLVBU

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/4WCFLVBUHQ5LOU2FPRXEIYEFQS \
  | 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: e58455d4343c3ab753457c6e44608584aec9eae22d6a1b6cd016d6d24c09c909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015314bf82a7eff4fbfb76cad8ba65a93a41dfd7b331caedde2864e3e40fb76c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2017-12-17T00:37:18Z",
    "title_canon_sha256": "b3cffdaab0bdf7d3b35511d3ee740eab208d71a208f9adc04ac395641f213d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09467",
    "kind": "arxiv",
    "version": 1
  }
}