Pith Number

pith:VOC3KPR5

pith:2015:VOC3KPR5TRPVKKFNM4GKAEEFZO

not attested not anchored not stored refs pending

Optical finite representation of the Lorentz group

B. M. Rodr\'iguez-Lara, J. Guerrero

arxiv:1508.05419 v1 · 2015-08-21 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOC3KPR5TRPVKKFNM4GKAEEFZO}

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	2026-05-18T01:25:26.190943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab85b53e3d9c5f5528ad670ca01085cbbc0a998ec78f4255ffc5b308dd7deb83

Aliases

arxiv: 1508.05419 · arxiv_version: 1508.05419v1 · doi: 10.48550/arxiv.1508.05419 · pith_short_12: VOC3KPR5TRPV · pith_short_16: VOC3KPR5TRPVKKFN · pith_short_8: VOC3KPR5

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/VOC3KPR5TRPVKKFNM4GKAEEFZO \
  | 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: ab85b53e3d9c5f5528ad670ca01085cbbc0a998ec78f4255ffc5b308dd7deb83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31694088fb0d0081321d8acd3fed85bc58e34cc89cb4101b0feb77e64496cf52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-08-21T21:45:20Z",
    "title_canon_sha256": "0c7954ca34b68e535325f56e6346b83fca19be806b526356fa6f6da727fa0bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05419",
    "kind": "arxiv",
    "version": 1
  }
}