Pith Number

pith:MCP6EULZ

pith:2011:MCP6EULZ2S7K6JI64MC7ZN5WBQ

not attested not anchored not stored refs pending

Double symmetry breaking of solitons in one-dimensional virtual photonic crystals

Boris A. Malomed, JianYing Zhou, Mingneng Feng, Yongyao Li

arxiv:1104.5176 v1 · 2011-04-27 · 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{MCP6EULZ2S7K6JI64MC7ZN5WBQ}

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	2026-05-18T02:02:14.089716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

609fe25179d4beaf251ee305fcb7b60c0906ef4e2d4d2a416648ec353366ff3c

Aliases

arxiv: 1104.5176 · arxiv_version: 1104.5176v1 · doi: 10.48550/arxiv.1104.5176 · pith_short_12: MCP6EULZ2S7K · pith_short_16: MCP6EULZ2S7K6JI6 · pith_short_8: MCP6EULZ

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/MCP6EULZ2S7K6JI64MC7ZN5WBQ \
  | 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: 609fe25179d4beaf251ee305fcb7b60c0906ef4e2d4d2a416648ec353366ff3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "defad525bb32cce998cf883a7c478666e359c5d64b64b49b162381438df0669d",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2011-04-27T16:09:43Z",
    "title_canon_sha256": "aa834ca03a0a54804d6904252ddde782bab122bd67e6c2cbffbd23a818c59dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5176",
    "kind": "arxiv",
    "version": 1
  }
}