Pith Number

pith:OL5QRJLN

pith:2016:OL5QRJLNCEMBO4XCPXOXAROBGX

not attested not anchored not stored refs pending

3-dimensional left-invariant sub-Lorentzian contact structures

Alexandr Medvedev, Ben Warhurst, Marek Grochowski

arxiv:1602.05091 v1 · 2016-02-16 · 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{OL5QRJLNCEMBO4XCPXOXAROBGX}

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	2026-05-18T01:20:37.552046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72fb08a56d11181772e27ddd7045c135ffb21cd372d4802031e82f31530dbfaa

Aliases

arxiv: 1602.05091 · arxiv_version: 1602.05091v1 · doi: 10.48550/arxiv.1602.05091 · pith_short_12: OL5QRJLNCEMB · pith_short_16: OL5QRJLNCEMBO4XC · pith_short_8: OL5QRJLN

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/OL5QRJLNCEMBO4XCPXOXAROBGX \
  | 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: 72fb08a56d11181772e27ddd7045c135ffb21cd372d4802031e82f31530dbfaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3e28c8f28c0f9490a4b5e26dc0a95886f4c6e8b0147340efd9a34c569ef5db4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-16T16:49:24Z",
    "title_canon_sha256": "4841f6b6e8746026ba2d5591c5eb0f804afad94ba0442b41d021596f4cd82881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05091",
    "kind": "arxiv",
    "version": 1
  }
}