Pith Number

pith:2O66HHHG

pith:2016:2O66HHHGDYES276MTH5HV4RJA6

not attested not anchored not stored refs pending

Symmetry, stability, and computation of degenerate lasing modes

Adi Pick, Bo Zhen, David Liu, Felipe Hernandez, Li Ge, Matthias Liertzer, Stefan Rotter, Stephan Burkhardt, Steven G. Johnson

arxiv:1611.01676 v2 · 2016-11-05 · 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{2O66HHHGDYES276MTH5HV4RJA6}

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	2026-05-18T00:49:58.073836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3bde39ce61e092d7fcc99fa7af22907bee66db86634119b410c60c09daf3100

Aliases

arxiv: 1611.01676 · arxiv_version: 1611.01676v2 · doi: 10.48550/arxiv.1611.01676 · pith_short_12: 2O66HHHGDYES · pith_short_16: 2O66HHHGDYES276M · pith_short_8: 2O66HHHG

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/2O66HHHGDYES276MTH5HV4RJA6 \
  | 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: d3bde39ce61e092d7fcc99fa7af22907bee66db86634119b410c60c09daf3100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "145375a4b68f21db66351602b1d1bbceb7ffd4df30b7eab7374d83ef22b387bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-11-05T17:08:02Z",
    "title_canon_sha256": "cb7efe93d7321afa84032be9acb08dd575db62fe3f49ca28250ffa11e8555b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01676",
    "kind": "arxiv",
    "version": 2
  }
}