Pith Number

pith:LBXIT5KB

pith:2013:LBXIT5KB7WH7KYKJSLHSLNOW5A

not attested not anchored not stored refs pending

Transformation Inverse Design

David Liu, Lucas H. Gabrielli, Michal Lipson, Steven G. Johnson

arxiv:1304.1553 v2 · 2013-04-04 · 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{LBXIT5KB7WH7KYKJSLHSLNOW5A}

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	2026-05-18T03:21:23.449088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

586e89f541fd8ff5614992cf25b5d6e8258025a740eb4b0032f74f58bb5164c2

Aliases

arxiv: 1304.1553 · arxiv_version: 1304.1553v2 · doi: 10.48550/arxiv.1304.1553 · pith_short_12: LBXIT5KB7WH7 · pith_short_16: LBXIT5KB7WH7KYKJ · pith_short_8: LBXIT5KB

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/LBXIT5KB7WH7KYKJSLHSLNOW5A \
  | 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: 586e89f541fd8ff5614992cf25b5d6e8258025a740eb4b0032f74f58bb5164c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041dd4bddd16ab6c833fec54e4b5741f2871c97ba8aa34e2254845939a053bf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-04-04T20:17:01Z",
    "title_canon_sha256": "7ec9bc56e3d56c6ceed5f9d981fc371a385622ebcac7ac8e56230d256e37d8ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1553",
    "kind": "arxiv",
    "version": 2
  }
}