Pith Number

pith:ZXCLQMF2

pith:2019:ZXCLQMF2SFUHFZHDXRPMWAJD64

not attested not anchored not stored refs pending

Bound states in the continuum through environmental design

Alexander Cerjan, Chia Wei Hsu, Mikael C. Rechtsman

arxiv:1901.07126 v1 · 2019-01-22 · 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{ZXCLQMF2SFUHFZHDXRPMWAJD64}

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	2026-05-17T23:40:33.601741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc4b830ba916872e4e3bc5ecb0123f709f761fc9ab1bbca573826eb84962de3

Aliases

arxiv: 1901.07126 · arxiv_version: 1901.07126v1 · doi: 10.48550/arxiv.1901.07126 · pith_short_12: ZXCLQMF2SFUH · pith_short_16: ZXCLQMF2SFUHFZHD · pith_short_8: ZXCLQMF2

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/ZXCLQMF2SFUHFZHDXRPMWAJD64 \
  | 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: cdc4b830ba916872e4e3bc5ecb0123f709f761fc9ab1bbca573826eb84962de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5033f2c35c6bd6b76ec88de37ee80895a6e9feedba2ca05a437c7c6085c08c56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-01-22T00:14:42Z",
    "title_canon_sha256": "d3b056f0a2948502bc80620f1c6a3e3674aa805b89d5810b03d3d86f0aed9916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07126",
    "kind": "arxiv",
    "version": 1
  }
}