Pith Number

pith:4BR3DUNQ

pith:2014:4BR3DUNQO5Y56ZFRMPCUAZEMBE

not attested not anchored not stored refs pending

Pinned modes in two-dimensional lossy lattices with local gain and nonlinearity

A. Y. S. Tang, Boris A. Malomed, Edwin Ding, K. W. Chow

arxiv:1404.5056 v1 · 2014-04-20 · nlin.PS · 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{4BR3DUNQO5Y56ZFRMPCUAZEMBE}

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	2026-05-18T01:43:27.079207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e063b1d1b07771df64b163c540648c09273f7536572bb0d0427d1afbc31db9ba

Aliases

arxiv: 1404.5056 · arxiv_version: 1404.5056v1 · doi: 10.48550/arxiv.1404.5056 · pith_short_12: 4BR3DUNQO5Y5 · pith_short_16: 4BR3DUNQO5Y56ZFR · pith_short_8: 4BR3DUNQ

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/4BR3DUNQO5Y56ZFRMPCUAZEMBE \
  | 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: e063b1d1b07771df64b163c540648c09273f7536572bb0d0427d1afbc31db9ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b78311b1f31ec00778053c9cd644812213c79223b498077894e2995d8182904",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2014-04-20T17:25:32Z",
    "title_canon_sha256": "36d24787943aef6fce7390d6acb1289fcf34ae45e9ad72afa2c5724c457911d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5056",
    "kind": "arxiv",
    "version": 1
  }
}