Pith Number

pith:E7RLYNHR

pith:2015:E7RLYNHRHZKT4HATSX7TQ7YWZJ

not attested not anchored not stored refs pending

Why the laser linewidth is so narrow: A modern perspective

A. Douglas Stone, Alexander Cerjan

arxiv:1507.06973 v1 · 2015-07-24 · 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{E7RLYNHRHZKT4HATSX7TQ7YWZJ}

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	2026-05-18T01:22:37.619505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e2bc34f13e553e1c1395ff387f16ca744b1df9a3826d103c3afc44175cb6b4

Aliases

arxiv: 1507.06973 · arxiv_version: 1507.06973v1 · doi: 10.48550/arxiv.1507.06973 · pith_short_12: E7RLYNHRHZKT · pith_short_16: E7RLYNHRHZKT4HAT · pith_short_8: E7RLYNHR

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/E7RLYNHRHZKT4HATSX7TQ7YWZJ \
  | 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: 27e2bc34f13e553e1c1395ff387f16ca744b1df9a3826d103c3afc44175cb6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e6839d0e4f6b2849f0bda10e3e1e0a46ad966c16e86ba4cafdc575d52ba960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-07-24T19:44:37Z",
    "title_canon_sha256": "d2ca0a980ad7fa5f6a151814f72b628233dfd260c823960c2281adc719b75711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06973",
    "kind": "arxiv",
    "version": 1
  }
}