Pith Number

pith:MZKRI5CB

pith:2017:MZKRI5CBGKXMMATP3NT7YFL7U3

not attested not anchored not stored refs pending

Surfaces with light-like points in Lorentz-Minkowski 3-space with applications

Kotaro Yamada, Masaaki Umehara

arxiv:1707.07396 v1 · 2017-07-24 · 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{MZKRI5CBGKXMMATP3NT7YFL7U3}

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	2026-05-18T00:39:42.374636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665514744132aec6026fdb67fc157fa6d2acf2e8dcc63f6d906a8b10ed501760

Aliases

arxiv: 1707.07396 · arxiv_version: 1707.07396v1 · doi: 10.48550/arxiv.1707.07396 · pith_short_12: MZKRI5CBGKXM · pith_short_16: MZKRI5CBGKXMMATP · pith_short_8: MZKRI5CB

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/MZKRI5CBGKXMMATP3NT7YFL7U3 \
  | 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: 665514744132aec6026fdb67fc157fa6d2acf2e8dcc63f6d906a8b10ed501760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3783bd09612271454e499604699b8179b4732811c7911c79853b66c4201d9f07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-24T04:12:57Z",
    "title_canon_sha256": "c0b963b246e58ed694f7d9b22c5ce74af0caa6b3bf5386f2d33ed4d7e98bc4f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07396",
    "kind": "arxiv",
    "version": 1
  }
}