Pith Number

pith:62Q54WUH

pith:2011:62Q54WUHRGEB5NBVQZWYLZCGMZ

not attested not anchored not stored refs pending

Controlling synchronization in large laser networks using number theory

Asher A. Friesem, Eitan Ronen, Ido Kanter, Micha Nixon, Moti Fridman, Nir Davidson

arxiv:1112.4158 v1 · 2011-12-18 · physics.optics · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62Q54WUHRGEB5NBVQZWYLZCGMZ}

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	2026-05-18T03:22:53.904152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6a1de5a8789881eb435866d85e446664aad28d3a77c4fefe8ca3885ef5719c2

Aliases

arxiv: 1112.4158 · arxiv_version: 1112.4158v1 · doi: 10.48550/arxiv.1112.4158 · pith_short_12: 62Q54WUHRGEB · pith_short_16: 62Q54WUHRGEB5NBV · pith_short_8: 62Q54WUH

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/62Q54WUHRGEB5NBVQZWYLZCGMZ \
  | 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: f6a1de5a8789881eb435866d85e446664aad28d3a77c4fefe8ca3885ef5719c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f713a2685a392b7e2fe5368ef940e975dcc2182b7bdb880906f390f797951d",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-12-18T14:02:11Z",
    "title_canon_sha256": "e12fbf7ed1045a1f9acc9b3678712540102a96dc99aacee6a1b77e26d216ebba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4158",
    "kind": "arxiv",
    "version": 1
  }
}