Pith Number

pith:5PYTNM3P

pith:2018:5PYTNM3POTT4RREPQSFFGFYZFY

not attested not anchored not stored refs pending

Geometric algebra and singularities of ruled and developable surfaces

Junki Tanaka, Toru Ohmoto

arxiv:1808.10587 v1 · 2018-08-31 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PYTNM3POTT4RREPQSFFGFYZFY}

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	2026-05-18T00:06:45.290685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf136b36f74e7c8c48f848a5317192e1dae4e61dfafac474769d166b57bb46e

Aliases

arxiv: 1808.10587 · arxiv_version: 1808.10587v1 · doi: 10.48550/arxiv.1808.10587 · pith_short_12: 5PYTNM3POTT4 · pith_short_16: 5PYTNM3POTT4RREP · pith_short_8: 5PYTNM3P

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/5PYTNM3POTT4RREPQSFFGFYZFY \
  | 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: ebf136b36f74e7c8c48f848a5317192e1dae4e61dfafac474769d166b57bb46e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4485a019cea116ac20c23a1c4bd21239d70dce0de560b7a5c22b379e6fa1a97a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-31T03:33:21Z",
    "title_canon_sha256": "658c2b7890b24713cf5c96bcb5b1ddb8c6ecfc11e57ae87d7f44b5a56d94869a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10587",
    "kind": "arxiv",
    "version": 1
  }
}